Finding the Third Proportional to 171,154 and 381,662

Step by Step Solution

1. Step 1: Write the proportion equation
   171,154 : 381,662 = 381,662 : x
2. Step 2: Convert to fraction form
   171,154/381,662 = 381,662/x
3. Step 3: Cross multiply
   171,154x = 381,662 × 381,662
4. Step 4: Simplify right side
   171,154x = 145,665,882,244
5. Step 5: Solve for x
   x = 145,665,882,244/171,154
6. Step 6: Final answer
   x = 851,080.79