Finding the Third Proportional to 172,638 and 377,298

Step by Step Solution

1. Step 1: Write the proportion equation
   172,638 : 377,298 = 377,298 : x
2. Step 2: Convert to fraction form
   172,638/377,298 = 377,298/x
3. Step 3: Cross multiply
   172,638x = 377,298 × 377,298
4. Step 4: Simplify right side
   172,638x = 142,353,780,804
5. Step 5: Solve for x
   x = 142,353,780,804/172,638
6. Step 6: Final answer
   x = 824,579.65