Finding the Third Proportional to 75.83 and 116.56

Step by Step Solution

1. Step 1: Write the proportion equation
   75.83 : 116.56 = 116.56 : x
2. Step 2: Convert to fraction form
   75.83/116.56 = 116.56/x
3. Step 3: Cross multiply
   75.83x = 116.56 × 116.56
4. Step 4: Simplify right side
   75.83x = 13,586.82
5. Step 5: Solve for x
   x = 13,586.82/75.83
6. Step 6: Final answer
   x = 179.18