Finding the Third Proportional to 176,442 and 384,870

Step by Step Solution

1. Step 1: Write the proportion equation
   176,442 : 384,870 = 384,870 : x
2. Step 2: Convert to fraction form
   176,442/384,870 = 384,870/x
3. Step 3: Cross multiply
   176,442x = 384,870 × 384,870
4. Step 4: Simplify right side
   176,442x = 148,124,916,900
5. Step 5: Solve for x
   x = 148,124,916,900/176,442
6. Step 6: Final answer
   x = 839,510.53