Finding the Third Proportional to 85,802 and 189,055

Step by Step Solution

1. Step 1: Write the proportion equation
   85,802 : 189,055 = 189,055 : x
2. Step 2: Convert to fraction form
   85,802/189,055 = 189,055/x
3. Step 3: Cross multiply
   85,802x = 189,055 × 189,055
4. Step 4: Simplify right side
   85,802x = 35,741,793,025
5. Step 5: Solve for x
   x = 35,741,793,025/85,802
6. Step 6: Final answer
   x = 416,561.30