Finding the Third Proportional to 172,128 and 377,436

Step by Step Solution

1. Step 1: Write the proportion equation
   172,128 : 377,436 = 377,436 : x
2. Step 2: Convert to fraction form
   172,128/377,436 = 377,436/x
3. Step 3: Cross multiply
   172,128x = 377,436 × 377,436
4. Step 4: Simplify right side
   172,128x = 142,457,934,096
5. Step 5: Solve for x
   x = 142,457,934,096/172,128
6. Step 6: Final answer
   x = 827,627.89