Finding the Third Proportional to 414,688,032 and 890,917,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,688,032 : 890,917,789.50 = 890,917,789.50 : x
2. Step 2: Convert to fraction form
   414,688,032/890,917,789.50 = 890,917,789.50/x
3. Step 3: Cross multiply
   414,688,032x = 890,917,789.50 × 890,917,789.50
4. Step 4: Simplify right side
   414,688,032x = 793,734,507,647,566,336
5. Step 5: Solve for x
   x = 793,734,507,647,566,336/414,688,032
6. Step 6: Final answer
   x = 1,914,052,122.07