Finding the Third Proportional to 465,705 and 729,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   465,705 : 729,004.50 = 729,004.50 : x
2. Step 2: Convert to fraction form
   465,705/729,004.50 = 729,004.50/x
3. Step 3: Cross multiply
   465,705x = 729,004.50 × 729,004.50
4. Step 4: Simplify right side
   465,705x = 531,447,561,020.25
5. Step 5: Solve for x
   x = 531,447,561,020.25/465,705
6. Step 6: Final answer
   x = 1,141,167.82