Finding the Third Proportional to 110,909.25 and 173,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,909.25 : 173,758.50 = 173,758.50 : x
2. Step 2: Convert to fraction form
   110,909.25/173,758.50 = 173,758.50/x
3. Step 3: Cross multiply
   110,909.25x = 173,758.50 × 173,758.50
4. Step 4: Simplify right side
   110,909.25x = 30,192,016,322.25
5. Step 5: Solve for x
   x = 30,192,016,322.25/110,909.25
6. Step 6: Final answer
   x = 272,222.71