Finding the Third Proportional to 172,472 and 377,004

Step by Step Solution

1. Step 1: Write the proportion equation
   172,472 : 377,004 = 377,004 : x
2. Step 2: Convert to fraction form
   172,472/377,004 = 377,004/x
3. Step 3: Cross multiply
   172,472x = 377,004 × 377,004
4. Step 4: Simplify right side
   172,472x = 142,132,016,016
5. Step 5: Solve for x
   x = 142,132,016,016/172,472
6. Step 6: Final answer
   x = 824,087.48