Finding the Third Proportional to 172,096 and 253,078

Step by Step Solution

1. Step 1: Write the proportion equation
   172,096 : 253,078 = 253,078 : x
2. Step 2: Convert to fraction form
   172,096/253,078 = 253,078/x
3. Step 3: Cross multiply
   172,096x = 253,078 × 253,078
4. Step 4: Simplify right side
   172,096x = 64,048,474,084
5. Step 5: Solve for x
   x = 64,048,474,084/172,096
6. Step 6: Final answer
   x = 372,167.13