Finding the Third Proportional to 80,916 and 172,038

Step by Step Solution

1. Step 1: Write the proportion equation
   80,916 : 172,038 = 172,038 : x
2. Step 2: Convert to fraction form
   80,916/172,038 = 172,038/x
3. Step 3: Cross multiply
   80,916x = 172,038 × 172,038
4. Step 4: Simplify right side
   80,916x = 29,597,073,444
5. Step 5: Solve for x
   x = 29,597,073,444/80,916
6. Step 6: Final answer
   x = 365,775.29