Finding the Third Proportional to 105,672 and 156,762

Step by Step Solution

1. Step 1: Write the proportion equation
   105,672 : 156,762 = 156,762 : x
2. Step 2: Convert to fraction form
   105,672/156,762 = 156,762/x
3. Step 3: Cross multiply
   105,672x = 156,762 × 156,762
4. Step 4: Simplify right side
   105,672x = 24,574,324,644
5. Step 5: Solve for x
   x = 24,574,324,644/105,672
6. Step 6: Final answer
   x = 232,552.85