Finding the Third Proportional to 105,037 and 157,632

Step by Step Solution

1. Step 1: Write the proportion equation
   105,037 : 157,632 = 157,632 : x
2. Step 2: Convert to fraction form
   105,037/157,632 = 157,632/x
3. Step 3: Cross multiply
   105,037x = 157,632 × 157,632
4. Step 4: Simplify right side
   105,037x = 24,847,847,424
5. Step 5: Solve for x
   x = 24,847,847,424/105,037
6. Step 6: Final answer
   x = 236,562.81