Finding the Third Proportional to 82.38 and 124.63

Step by Step Solution

1. Step 1: Write the proportion equation
   82.38 : 124.63 = 124.63 : x
2. Step 2: Convert to fraction form
   82.38/124.63 = 124.63/x
3. Step 3: Cross multiply
   82.38x = 124.63 × 124.63
4. Step 4: Simplify right side
   82.38x = 15,531.39
5. Step 5: Solve for x
   x = 15,531.39/82.38
6. Step 6: Final answer
   x = 188.54