Finding the Third Proportional to 105,705 and 157,737.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105,705 : 157,737.38 = 157,737.38 : x
2. Step 2: Convert to fraction form
   105,705/157,737.38 = 157,737.38/x
3. Step 3: Cross multiply
   105,705x = 157,737.38 × 157,737.38
4. Step 4: Simplify right side
   105,705x = 24,881,079,471.89
5. Step 5: Solve for x
   x = 24,881,079,471.89/105,705
6. Step 6: Final answer
   x = 235,382.24