Finding the Third Proportional to 172,870 and 377,257

Step by Step Solution

1. Step 1: Write the proportion equation
   172,870 : 377,257 = 377,257 : x
2. Step 2: Convert to fraction form
   172,870/377,257 = 377,257/x
3. Step 3: Cross multiply
   172,870x = 377,257 × 377,257
4. Step 4: Simplify right side
   172,870x = 142,322,844,049
5. Step 5: Solve for x
   x = 142,322,844,049/172,870
6. Step 6: Final answer
   x = 823,294.06