Finding the Third Proportional to 82,234 and 123,350

Step by Step Solution

1. Step 1: Write the proportion equation
   82,234 : 123,350 = 123,350 : x
2. Step 2: Convert to fraction form
   82,234/123,350 = 123,350/x
3. Step 3: Cross multiply
   82,234x = 123,350 × 123,350
4. Step 4: Simplify right side
   82,234x = 15,215,222,500
5. Step 5: Solve for x
   x = 15,215,222,500/82,234
6. Step 6: Final answer
   x = 185,023.50