Finding the Third Proportional to 532,107 and 782,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   532,107 : 782,599.50 = 782,599.50 : x
2. Step 2: Convert to fraction form
   532,107/782,599.50 = 782,599.50/x
3. Step 3: Cross multiply
   532,107x = 782,599.50 × 782,599.50
4. Step 4: Simplify right side
   532,107x = 612,461,977,400.25
5. Step 5: Solve for x
   x = 612,461,977,400.25/532,107
6. Step 6: Final answer
   x = 1,151,012.82