Finding the Third Proportional to 75.94 and 116.86

Step by Step Solution

1. Step 1: Write the proportion equation
   75.94 : 116.86 = 116.86 : x
2. Step 2: Convert to fraction form
   75.94/116.86 = 116.86/x
3. Step 3: Cross multiply
   75.94x = 116.86 × 116.86
4. Step 4: Simplify right side
   75.94x = 13,656.11
5. Step 5: Solve for x
   x = 13,656.11/75.94
6. Step 6: Final answer
   x = 179.83