Finding the Third Proportional to 532,152 and 782,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   532,152 : 782,635.50 = 782,635.50 : x
2. Step 2: Convert to fraction form
   532,152/782,635.50 = 782,635.50/x
3. Step 3: Cross multiply
   532,152x = 782,635.50 × 782,635.50
4. Step 4: Simplify right side
   532,152x = 612,518,325,860.25
5. Step 5: Solve for x
   x = 612,518,325,860.25/532,152
6. Step 6: Final answer
   x = 1,151,021.37