Finding the Third Proportional to 116,540 and 174,746

Step by Step Solution

1. Step 1: Write the proportion equation
   116,540 : 174,746 = 174,746 : x
2. Step 2: Convert to fraction form
   116,540/174,746 = 174,746/x
3. Step 3: Cross multiply
   116,540x = 174,746 × 174,746
4. Step 4: Simplify right side
   116,540x = 30,536,164,516
5. Step 5: Solve for x
   x = 30,536,164,516/116,540
6. Step 6: Final answer
   x = 262,023.04