Finding the Third Proportional to 645,796,414,386 and 1,383,706,868,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   645,796,414,386 : 1,383,706,868,512.50 = 1,383,706,868,512.50 : x
2. Step 2: Convert to fraction form
   645,796,414,386/1,383,706,868,512.50 = 1,383,706,868,512.50/x
3. Step 3: Cross multiply
   645,796,414,386x = 1,383,706,868,512.50 × 1,383,706,868,512.50
4. Step 4: Simplify right side
   645,796,414,386x = 1,914,644,697,968,668,934,406,144
5. Step 5: Solve for x
   x = 1,914,644,697,968,668,934,406,144/645,796,414,386
6. Step 6: Final answer
   x = 2,964,780,626,397.63