Finding the Third Proportional to 512,404.50 and 729,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   512,404.50 : 729,928.50 = 729,928.50 : x
2. Step 2: Convert to fraction form
   512,404.50/729,928.50 = 729,928.50/x
3. Step 3: Cross multiply
   512,404.50x = 729,928.50 × 729,928.50
4. Step 4: Simplify right side
   512,404.50x = 532,795,615,112.25
5. Step 5: Solve for x
   x = 532,795,615,112.25/512,404.50
6. Step 6: Final answer
   x = 1,039,794.96