Finding the Third Proportional to 89,162 and 185,796

Step by Step Solution

1. Step 1: Write the proportion equation
   89,162 : 185,796 = 185,796 : x
2. Step 2: Convert to fraction form
   89,162/185,796 = 185,796/x
3. Step 3: Cross multiply
   89,162x = 185,796 × 185,796
4. Step 4: Simplify right side
   89,162x = 34,520,153,616
5. Step 5: Solve for x
   x = 34,520,153,616/89,162
6. Step 6: Final answer
   x = 387,162.17