Finding the Third Proportional to 86,112 and 185,816

Step by Step Solution

1. Step 1: Write the proportion equation
   86,112 : 185,816 = 185,816 : x
2. Step 2: Convert to fraction form
   86,112/185,816 = 185,816/x
3. Step 3: Cross multiply
   86,112x = 185,816 × 185,816
4. Step 4: Simplify right side
   86,112x = 34,527,585,856
5. Step 5: Solve for x
   x = 34,527,585,856/86,112
6. Step 6: Final answer
   x = 400,961.37