Finding the Third Proportional to 85,861 and 186,496

Step by Step Solution

1. Step 1: Write the proportion equation
   85,861 : 186,496 = 186,496 : x
2. Step 2: Convert to fraction form
   85,861/186,496 = 186,496/x
3. Step 3: Cross multiply
   85,861x = 186,496 × 186,496
4. Step 4: Simplify right side
   85,861x = 34,780,758,016
5. Step 5: Solve for x
   x = 34,780,758,016/85,861
6. Step 6: Final answer
   x = 405,082.14