Finding the Third Proportional to 77.50 and 116.38

Step by Step Solution

1. Step 1: Write the proportion equation
   77.50 : 116.38 = 116.38 : x
2. Step 2: Convert to fraction form
   77.50/116.38 = 116.38/x
3. Step 3: Cross multiply
   77.50x = 116.38 × 116.38
4. Step 4: Simplify right side
   77.50x = 13,543.14
5. Step 5: Solve for x
   x = 13,543.14/77.50
6. Step 6: Final answer
   x = 174.75