Finding the Third Proportional to 110,443.50 and 171,406.13

Step by Step Solution

1. Step 1: Write the proportion equation
   110,443.50 : 171,406.13 = 171,406.13 : x
2. Step 2: Convert to fraction form
   110,443.50/171,406.13 = 171,406.13/x
3. Step 3: Cross multiply
   110,443.50x = 171,406.13 × 171,406.13
4. Step 4: Simplify right side
   110,443.50x = 29,380,059,687.52
5. Step 5: Solve for x
   x = 29,380,059,687.52/110,443.50
6. Step 6: Final answer
   x = 266,018.91