Finding the Third Proportional to 76.49 and 123.15

Step by Step Solution

1. Step 1: Write the proportion equation
   76.49 : 123.15 = 123.15 : x
2. Step 2: Convert to fraction form
   76.49/123.15 = 123.15/x
3. Step 3: Cross multiply
   76.49x = 123.15 × 123.15
4. Step 4: Simplify right side
   76.49x = 15,166.23
5. Step 5: Solve for x
   x = 15,166.23/76.49
6. Step 6: Final answer
   x = 198.27