Finding the Third Proportional to 85,815 and 189,082

Step by Step Solution

1. Step 1: Write the proportion equation
   85,815 : 189,082 = 189,082 : x
2. Step 2: Convert to fraction form
   85,815/189,082 = 189,082/x
3. Step 3: Cross multiply
   85,815x = 189,082 × 189,082
4. Step 4: Simplify right side
   85,815x = 35,752,002,724
5. Step 5: Solve for x
   x = 35,752,002,724/85,815
6. Step 6: Final answer
   x = 416,617.17