Finding the Third Proportional to 124.88 and 186.69

Step by Step Solution

1. Step 1: Write the proportion equation
   124.88 : 186.69 = 186.69 : x
2. Step 2: Convert to fraction form
   124.88/186.69 = 186.69/x
3. Step 3: Cross multiply
   124.88x = 186.69 × 186.69
4. Step 4: Simplify right side
   124.88x = 34,852.22
5. Step 5: Solve for x
   x = 34,852.22/124.88
6. Step 6: Final answer
   x = 279.10