Finding the Third Proportional to 172,096 and 375,296

Step by Step Solution

1. Step 1: Write the proportion equation
   172,096 : 375,296 = 375,296 : x
2. Step 2: Convert to fraction form
   172,096/375,296 = 375,296/x
3. Step 3: Cross multiply
   172,096x = 375,296 × 375,296
4. Step 4: Simplify right side
   172,096x = 140,847,087,616
5. Step 5: Solve for x
   x = 140,847,087,616/172,096
6. Step 6: Final answer
   x = 818,421.62