Finding the Third Proportional to 108,123.50 and 172,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   108,123.50 : 172,178.25 = 172,178.25 : x
2. Step 2: Convert to fraction form
   108,123.50/172,178.25 = 172,178.25/x
3. Step 3: Cross multiply
   108,123.50x = 172,178.25 × 172,178.25
4. Step 4: Simplify right side
   108,123.50x = 29,645,349,773.06
5. Step 5: Solve for x
   x = 29,645,349,773.06/108,123.50
6. Step 6: Final answer
   x = 274,180.45