Finding the Third Proportional to 172,494 and 377,172

Step by Step Solution

1. Step 1: Write the proportion equation
   172,494 : 377,172 = 377,172 : x
2. Step 2: Convert to fraction form
   172,494/377,172 = 377,172/x
3. Step 3: Cross multiply
   172,494x = 377,172 × 377,172
4. Step 4: Simplify right side
   172,494x = 142,258,717,584
5. Step 5: Solve for x
   x = 142,258,717,584/172,494
6. Step 6: Final answer
   x = 824,716.90