Finding the Third Proportional to 75,160 and 116,540

Step by Step Solution

1. Step 1: Write the proportion equation
   75,160 : 116,540 = 116,540 : x
2. Step 2: Convert to fraction form
   75,160/116,540 = 116,540/x
3. Step 3: Cross multiply
   75,160x = 116,540 × 116,540
4. Step 4: Simplify right side
   75,160x = 13,581,571,600
5. Step 5: Solve for x
   x = 13,581,571,600/75,160
6. Step 6: Final answer
   x = 180,702.12