Finding the Third Proportional to 111,127.50 and 172,118.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,127.50 : 172,118.25 = 172,118.25 : x
2. Step 2: Convert to fraction form
   111,127.50/172,118.25 = 172,118.25/x
3. Step 3: Cross multiply
   111,127.50x = 172,118.25 × 172,118.25
4. Step 4: Simplify right side
   111,127.50x = 29,624,691,983.06
5. Step 5: Solve for x
   x = 29,624,691,983.06/111,127.50
6. Step 6: Final answer
   x = 266,582.91