Finding the Third Proportional to 82,311 and 124,614

Step by Step Solution

1. Step 1: Write the proportion equation
   82,311 : 124,614 = 124,614 : x
2. Step 2: Convert to fraction form
   82,311/124,614 = 124,614/x
3. Step 3: Cross multiply
   82,311x = 124,614 × 124,614
4. Step 4: Simplify right side
   82,311x = 15,528,648,996
5. Step 5: Solve for x
   x = 15,528,648,996/82,311
6. Step 6: Final answer
   x = 188,658.25