Finding the Third Proportional to 85,778 and 189,006

Step by Step Solution

1. Step 1: Write the proportion equation
   85,778 : 189,006 = 189,006 : x
2. Step 2: Convert to fraction form
   85,778/189,006 = 189,006/x
3. Step 3: Cross multiply
   85,778x = 189,006 × 189,006
4. Step 4: Simplify right side
   85,778x = 35,723,268,036
5. Step 5: Solve for x
   x = 35,723,268,036/85,778
6. Step 6: Final answer
   x = 416,461.89