Finding the Third Proportional to 456,900,123 and 706,309,340

Step by Step Solution

1. Step 1: Write the proportion equation
   456,900,123 : 706,309,340 = 706,309,340 : x
2. Step 2: Convert to fraction form
   456,900,123/706,309,340 = 706,309,340/x
3. Step 3: Cross multiply
   456,900,123x = 706,309,340 × 706,309,340
4. Step 4: Simplify right side
   456,900,123x = 498,872,883,771,235,584
5. Step 5: Solve for x
   x = 498,872,883,771,235,584/456,900,123
6. Step 6: Final answer
   x = 1,091,864,192.32