Finding the Third Proportional to 465,759 and 729,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   465,759 : 729,085.50 = 729,085.50 : x
2. Step 2: Convert to fraction form
   465,759/729,085.50 = 729,085.50/x
3. Step 3: Cross multiply
   465,759x = 729,085.50 × 729,085.50
4. Step 4: Simplify right side
   465,759x = 531,565,666,310.25
5. Step 5: Solve for x
   x = 531,565,666,310.25/465,759
6. Step 6: Final answer
   x = 1,141,289.09