Finding the Third Proportional to 89,437 and 186,218

Step by Step Solution

1. Step 1: Write the proportion equation
   89,437 : 186,218 = 186,218 : x
2. Step 2: Convert to fraction form
   89,437/186,218 = 186,218/x
3. Step 3: Cross multiply
   89,437x = 186,218 × 186,218
4. Step 4: Simplify right side
   89,437x = 34,677,143,524
5. Step 5: Solve for x
   x = 34,677,143,524/89,437
6. Step 6: Final answer
   x = 387,727.04