Finding the Third Proportional to 78,525 and 172,601

Step by Step Solution

1. Step 1: Write the proportion equation
   78,525 : 172,601 = 172,601 : x
2. Step 2: Convert to fraction form
   78,525/172,601 = 172,601/x
3. Step 3: Cross multiply
   78,525x = 172,601 × 172,601
4. Step 4: Simplify right side
   78,525x = 29,791,105,201
5. Step 5: Solve for x
   x = 29,791,105,201/78,525
6. Step 6: Final answer
   x = 379,383.70