Finding the Third Proportional to 172,500 and 231,798

Step by Step Solution

1. Step 1: Write the proportion equation
   172,500 : 231,798 = 231,798 : x
2. Step 2: Convert to fraction form
   172,500/231,798 = 231,798/x
3. Step 3: Cross multiply
   172,500x = 231,798 × 231,798
4. Step 4: Simplify right side
   172,500x = 53,730,312,804
5. Step 5: Solve for x
   x = 53,730,312,804/172,500
6. Step 6: Final answer
   x = 311,480.07