Finding the Third Proportional to 78,798 and 172,902

Step by Step Solution

1. Step 1: Write the proportion equation
   78,798 : 172,902 = 172,902 : x
2. Step 2: Convert to fraction form
   78,798/172,902 = 172,902/x
3. Step 3: Cross multiply
   78,798x = 172,902 × 172,902
4. Step 4: Simplify right side
   78,798x = 29,895,101,604
5. Step 5: Solve for x
   x = 29,895,101,604/78,798
6. Step 6: Final answer
   x = 379,389.09