Finding the Third Proportional to 82,585 and 124,651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,585 : 124,651.50 = 124,651.50 : x
2. Step 2: Convert to fraction form
   82,585/124,651.50 = 124,651.50/x
3. Step 3: Cross multiply
   82,585x = 124,651.50 × 124,651.50
4. Step 4: Simplify right side
   82,585x = 15,537,996,452.25
5. Step 5: Solve for x
   x = 15,537,996,452.25/82,585
6. Step 6: Final answer
   x = 188,145.50