Finding the Third Proportional to 414,436.50 and 765,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,436.50 : 765,733.50 = 765,733.50 : x
2. Step 2: Convert to fraction form
   414,436.50/765,733.50 = 765,733.50/x
3. Step 3: Cross multiply
   414,436.50x = 765,733.50 × 765,733.50
4. Step 4: Simplify right side
   414,436.50x = 586,347,793,022.25
5. Step 5: Solve for x
   x = 586,347,793,022.25/414,436.50
6. Step 6: Final answer
   x = 1,414,807.32