Finding the Third Proportional to 532,080 and 782,561.25

Step by Step Solution

1. Step 1: Write the proportion equation
   532,080 : 782,561.25 = 782,561.25 : x
2. Step 2: Convert to fraction form
   532,080/782,561.25 = 782,561.25/x
3. Step 3: Cross multiply
   532,080x = 782,561.25 × 782,561.25
4. Step 4: Simplify right side
   532,080x = 612,402,110,001.56
5. Step 5: Solve for x
   x = 612,402,110,001.56/532,080
6. Step 6: Final answer
   x = 1,150,958.71