Finding the Third Proportional to 52,180 and 111,746

Step by Step Solution

1. Step 1: Write the proportion equation
   52,180 : 111,746 = 111,746 : x
2. Step 2: Convert to fraction form
   52,180/111,746 = 111,746/x
3. Step 3: Cross multiply
   52,180x = 111,746 × 111,746
4. Step 4: Simplify right side
   52,180x = 12,487,168,516
5. Step 5: Solve for x
   x = 12,487,168,516/52,180
6. Step 6: Final answer
   x = 239,309.48