Finding the Third Proportional to 171,822 and 377,520

Step by Step Solution

1. Step 1: Write the proportion equation
   171,822 : 377,520 = 377,520 : x
2. Step 2: Convert to fraction form
   171,822/377,520 = 377,520/x
3. Step 3: Cross multiply
   171,822x = 377,520 × 377,520
4. Step 4: Simplify right side
   171,822x = 142,521,350,400
5. Step 5: Solve for x
   x = 142,521,350,400/171,822
6. Step 6: Final answer
   x = 829,470.91