Finding the Third Proportional to 172,474 and 377,008

Step by Step Solution

1. Step 1: Write the proportion equation
   172,474 : 377,008 = 377,008 : x
2. Step 2: Convert to fraction form
   172,474/377,008 = 377,008/x
3. Step 3: Cross multiply
   172,474x = 377,008 × 377,008
4. Step 4: Simplify right side
   172,474x = 142,135,032,064
5. Step 5: Solve for x
   x = 142,135,032,064/172,474
6. Step 6: Final answer
   x = 824,095.41