Finding the Third Proportional to 402,384 and 870,105

Step by Step Solution

1. Step 1: Write the proportion equation
   402,384 : 870,105 = 870,105 : x
2. Step 2: Convert to fraction form
   402,384/870,105 = 870,105/x
3. Step 3: Cross multiply
   402,384x = 870,105 × 870,105
4. Step 4: Simplify right side
   402,384x = 757,082,711,025
5. Step 5: Solve for x
   x = 757,082,711,025/402,384
6. Step 6: Final answer
   x = 1,881,493.08