Finding the Third Proportional to 105,671 and 156,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,671 : 156,760.50 = 156,760.50 : x
2. Step 2: Convert to fraction form
   105,671/156,760.50 = 156,760.50/x
3. Step 3: Cross multiply
   105,671x = 156,760.50 × 156,760.50
4. Step 4: Simplify right side
   105,671x = 24,573,854,360.25
5. Step 5: Solve for x
   x = 24,573,854,360.25/105,671
6. Step 6: Final answer
   x = 232,550.60