Finding the Third Proportional to 82.69 and 123.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 123.88 = 123.88 : x
2. Step 2: Convert to fraction form
   82.69/123.88 = 123.88/x
3. Step 3: Cross multiply
   82.69x = 123.88 × 123.88
4. Step 4: Simplify right side
   82.69x = 15,345.02
5. Step 5: Solve for x
   x = 15,345.02/82.69
6. Step 6: Final answer
   x = 185.58