Finding the Third Proportional to 85,856 and 186,484

Step by Step Solution

1. Step 1: Write the proportion equation
   85,856 : 186,484 = 186,484 : x
2. Step 2: Convert to fraction form
   85,856/186,484 = 186,484/x
3. Step 3: Cross multiply
   85,856x = 186,484 × 186,484
4. Step 4: Simplify right side
   85,856x = 34,776,282,256
5. Step 5: Solve for x
   x = 34,776,282,256/85,856
6. Step 6: Final answer
   x = 405,053.60