Finding the Third Proportional to 645,920 and 1,416,256

Step by Step Solution

1. Step 1: Write the proportion equation
   645,920 : 1,416,256 = 1,416,256 : x
2. Step 2: Convert to fraction form
   645,920/1,416,256 = 1,416,256/x
3. Step 3: Cross multiply
   645,920x = 1,416,256 × 1,416,256
4. Step 4: Simplify right side
   645,920x = 2,005,781,057,536
5. Step 5: Solve for x
   x = 2,005,781,057,536/645,920
6. Step 6: Final answer
   x = 3,105,308.80