Finding the Third Proportional to 176,816 and 381,870

Step by Step Solution

1. Step 1: Write the proportion equation
   176,816 : 381,870 = 381,870 : x
2. Step 2: Convert to fraction form
   176,816/381,870 = 381,870/x
3. Step 3: Cross multiply
   176,816x = 381,870 × 381,870
4. Step 4: Simplify right side
   176,816x = 145,824,696,900
5. Step 5: Solve for x
   x = 145,824,696,900/176,816
6. Step 6: Final answer
   x = 824,725.69