Finding the Third Proportional to 89,279 and 185,965

Step by Step Solution

1. Step 1: Write the proportion equation
   89,279 : 185,965 = 185,965 : x
2. Step 2: Convert to fraction form
   89,279/185,965 = 185,965/x
3. Step 3: Cross multiply
   89,279x = 185,965 × 185,965
4. Step 4: Simplify right side
   89,279x = 34,582,981,225
5. Step 5: Solve for x
   x = 34,582,981,225/89,279
6. Step 6: Final answer
   x = 387,358.52