Finding the Third Proportional to 74.13 and 116.46

Step by Step Solution

1. Step 1: Write the proportion equation
   74.13 : 116.46 = 116.46 : x
2. Step 2: Convert to fraction form
   74.13/116.46 = 116.46/x
3. Step 3: Cross multiply
   74.13x = 116.46 × 116.46
4. Step 4: Simplify right side
   74.13x = 13,563.15
5. Step 5: Solve for x
   x = 13,563.15/74.13
6. Step 6: Final answer
   x = 182.96