Finding the Third Proportional to 74.04 and 114.86

Step by Step Solution

1. Step 1: Write the proportion equation
   74.04 : 114.86 = 114.86 : x
2. Step 2: Convert to fraction form
   74.04/114.86 = 114.86/x
3. Step 3: Cross multiply
   74.04x = 114.86 × 114.86
4. Step 4: Simplify right side
   74.04x = 13,191.78
5. Step 5: Solve for x
   x = 13,191.78/74.04
6. Step 6: Final answer
   x = 178.17