Finding the Third Proportional to 459,395,007 and 706,123,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   459,395,007 : 706,123,042.50 = 706,123,042.50 : x
2. Step 2: Convert to fraction form
   459,395,007/706,123,042.50 = 706,123,042.50/x
3. Step 3: Cross multiply
   459,395,007x = 706,123,042.50 × 706,123,042.50
4. Step 4: Simplify right side
   459,395,007x = 498,609,751,149,456,832
5. Step 5: Solve for x
   x = 498,609,751,149,456,832/459,395,007
6. Step 6: Final answer
   x = 1,085,361,711.71