Finding the Third Proportional to 123.87 and 186.17

Step by Step Solution

1. Step 1: Write the proportion equation
   123.87 : 186.17 = 186.17 : x
2. Step 2: Convert to fraction form
   123.87/186.17 = 186.17/x
3. Step 3: Cross multiply
   123.87x = 186.17 × 186.17
4. Step 4: Simplify right side
   123.87x = 34,657.60
5. Step 5: Solve for x
   x = 34,657.60/123.87
6. Step 6: Final answer
   x = 279.78