Finding the Third Proportional to 105,661.50 and 156,746.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,661.50 : 156,746.25 = 156,746.25 : x
2. Step 2: Convert to fraction form
   105,661.50/156,746.25 = 156,746.25/x
3. Step 3: Cross multiply
   105,661.50x = 156,746.25 × 156,746.25
4. Step 4: Simplify right side
   105,661.50x = 24,569,386,889.06
5. Step 5: Solve for x
   x = 24,569,386,889.06/105,661.50
6. Step 6: Final answer
   x = 232,529.23