Finding the Third Proportional to 459,395,009 and 706,123,046

Step by Step Solution

1. Step 1: Write the proportion equation
   459,395,009 : 706,123,046 = 706,123,046 : x
2. Step 2: Convert to fraction form
   459,395,009/706,123,046 = 706,123,046/x
3. Step 3: Cross multiply
   459,395,009x = 706,123,046 × 706,123,046
4. Step 4: Simplify right side
   459,395,009x = 498,609,756,092,318,144
5. Step 5: Solve for x
   x = 498,609,756,092,318,144/459,395,009
6. Step 6: Final answer
   x = 1,085,361,717.75