Finding the Third Proportional to 511,434 and 767,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   511,434 : 767,151.50 = 767,151.50 : x
2. Step 2: Convert to fraction form
   511,434/767,151.50 = 767,151.50/x
3. Step 3: Cross multiply
   511,434x = 767,151.50 × 767,151.50
4. Step 4: Simplify right side
   511,434x = 588,521,423,952.25
5. Step 5: Solve for x
   x = 588,521,423,952.25/511,434
6. Step 6: Final answer
   x = 1,150,728.00