Finding the Third Proportional to 111,088.50 and 172,060.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,088.50 : 172,060.50 = 172,060.50 : x
2. Step 2: Convert to fraction form
   111,088.50/172,060.50 = 172,060.50/x
3. Step 3: Cross multiply
   111,088.50x = 172,060.50 × 172,060.50
4. Step 4: Simplify right side
   111,088.50x = 29,604,815,660.25
5. Step 5: Solve for x
   x = 29,604,815,660.25/111,088.50
6. Step 6: Final answer
   x = 266,497.57