Finding the Third Proportional to 111,118.50 and 172,104.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111,118.50 : 172,104.75 = 172,104.75 : x
2. Step 2: Convert to fraction form
   111,118.50/172,104.75 = 172,104.75/x
3. Step 3: Cross multiply
   111,118.50x = 172,104.75 × 172,104.75
4. Step 4: Simplify right side
   111,118.50x = 29,620,044,972.56
5. Step 5: Solve for x
   x = 29,620,044,972.56/111,118.50
6. Step 6: Final answer
   x = 266,562.68