Finding the Third Proportional to 82,515 and 123,988.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,515 : 123,988.50 = 123,988.50 : x
2. Step 2: Convert to fraction form
   82,515/123,988.50 = 123,988.50/x
3. Step 3: Cross multiply
   82,515x = 123,988.50 × 123,988.50
4. Step 4: Simplify right side
   82,515x = 15,373,148,132.25
5. Step 5: Solve for x
   x = 15,373,148,132.25/82,515
6. Step 6: Final answer
   x = 186,307.32