Finding the Third Proportional to 89,441 and 186,226

Step by Step Solution

1. Step 1: Write the proportion equation
   89,441 : 186,226 = 186,226 : x
2. Step 2: Convert to fraction form
   89,441/186,226 = 186,226/x
3. Step 3: Cross multiply
   89,441x = 186,226 × 186,226
4. Step 4: Simplify right side
   89,441x = 34,680,123,076
5. Step 5: Solve for x
   x = 34,680,123,076/89,441
6. Step 6: Final answer
   x = 387,743.02