Finding the Third Proportional to 85,867 and 186,034

Step by Step Solution

1. Step 1: Write the proportion equation
   85,867 : 186,034 = 186,034 : x
2. Step 2: Convert to fraction form
   85,867/186,034 = 186,034/x
3. Step 3: Cross multiply
   85,867x = 186,034 × 186,034
4. Step 4: Simplify right side
   85,867x = 34,608,649,156
5. Step 5: Solve for x
   x = 34,608,649,156/85,867
6. Step 6: Final answer
   x = 403,049.47