Finding the Third Proportional to 105,662 and 156,747

Step by Step Solution

1. Step 1: Write the proportion equation
   105,662 : 156,747 = 156,747 : x
2. Step 2: Convert to fraction form
   105,662/156,747 = 156,747/x
3. Step 3: Cross multiply
   105,662x = 156,747 × 156,747
4. Step 4: Simplify right side
   105,662x = 24,569,622,009
5. Step 5: Solve for x
   x = 24,569,622,009/105,662
6. Step 6: Final answer
   x = 232,530.35