Finding the Third Proportional to 185,416 and 404,670

Step by Step Solution

1. Step 1: Write the proportion equation
   185,416 : 404,670 = 404,670 : x
2. Step 2: Convert to fraction form
   185,416/404,670 = 404,670/x
3. Step 3: Cross multiply
   185,416x = 404,670 × 404,670
4. Step 4: Simplify right side
   185,416x = 163,757,808,900
5. Step 5: Solve for x
   x = 163,757,808,900/185,416
6. Step 6: Final answer
   x = 883,191.36