Finding the Third Proportional to 78,761 and 172,831

Step by Step Solution

1. Step 1: Write the proportion equation
   78,761 : 172,831 = 172,831 : x
2. Step 2: Convert to fraction form
   78,761/172,831 = 172,831/x
3. Step 3: Cross multiply
   78,761x = 172,831 × 172,831
4. Step 4: Simplify right side
   78,761x = 29,870,554,561
5. Step 5: Solve for x
   x = 29,870,554,561/78,761
6. Step 6: Final answer
   x = 379,255.65