Finding the Third Proportional to 75.84 and 116.72

Step by Step Solution

1. Step 1: Write the proportion equation
   75.84 : 116.72 = 116.72 : x
2. Step 2: Convert to fraction form
   75.84/116.72 = 116.72/x
3. Step 3: Cross multiply
   75.84x = 116.72 × 116.72
4. Step 4: Simplify right side
   75.84x = 13,623.27
5. Step 5: Solve for x
   x = 13,623.27/75.84
6. Step 6: Final answer
   x = 179.62