Finding the Third Proportional to 172,486 and 377,036

Step by Step Solution

1. Step 1: Write the proportion equation
   172,486 : 377,036 = 377,036 : x
2. Step 2: Convert to fraction form
   172,486/377,036 = 377,036/x
3. Step 3: Cross multiply
   172,486x = 377,036 × 377,036
4. Step 4: Simplify right side
   172,486x = 142,156,145,296
5. Step 5: Solve for x
   x = 142,156,145,296/172,486
6. Step 6: Final answer
   x = 824,160.48