Finding the Third Proportional to 50,557 and 108,746

Step by Step Solution

1. Step 1: Write the proportion equation
   50,557 : 108,746 = 108,746 : x
2. Step 2: Convert to fraction form
   50,557/108,746 = 108,746/x
3. Step 3: Cross multiply
   50,557x = 108,746 × 108,746
4. Step 4: Simplify right side
   50,557x = 11,825,692,516
5. Step 5: Solve for x
   x = 11,825,692,516/50,557
6. Step 6: Final answer
   x = 233,908.11