Finding the Third Proportional to 82.88 and 124.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82.88 : 124.31 = 124.31 : x
2. Step 2: Convert to fraction form
   82.88/124.31 = 124.31/x
3. Step 3: Cross multiply
   82.88x = 124.31 × 124.31
4. Step 4: Simplify right side
   82.88x = 15,453.60
5. Step 5: Solve for x
   x = 15,453.60/82.88
6. Step 6: Final answer
   x = 186.47