Finding the Third Proportional to 85,778 and 189,008

Step by Step Solution

1. Step 1: Write the proportion equation
   85,778 : 189,008 = 189,008 : x
2. Step 2: Convert to fraction form
   85,778/189,008 = 189,008/x
3. Step 3: Cross multiply
   85,778x = 189,008 × 189,008
4. Step 4: Simplify right side
   85,778x = 35,724,024,064
5. Step 5: Solve for x
   x = 35,724,024,064/85,778
6. Step 6: Final answer
   x = 416,470.70