Finding the Third Proportional to 109,363.50 and 171,335.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,363.50 : 171,335.25 = 171,335.25 : x
2. Step 2: Convert to fraction form
   109,363.50/171,335.25 = 171,335.25/x
3. Step 3: Cross multiply
   109,363.50x = 171,335.25 × 171,335.25
4. Step 4: Simplify right side
   109,363.50x = 29,355,767,892.56
5. Step 5: Solve for x
   x = 29,355,767,892.56/109,363.50
6. Step 6: Final answer
   x = 268,423.82