Finding the Third Proportional to 172,064 and 377,338

Step by Step Solution

1. Step 1: Write the proportion equation
   172,064 : 377,338 = 377,338 : x
2. Step 2: Convert to fraction form
   172,064/377,338 = 377,338/x
3. Step 3: Cross multiply
   172,064x = 377,338 × 377,338
4. Step 4: Simplify right side
   172,064x = 142,383,966,244
5. Step 5: Solve for x
   x = 142,383,966,244/172,064
6. Step 6: Final answer
   x = 827,505.85