Finding the Third Proportional to 89,398 and 186,147

Step by Step Solution

1. Step 1: Write the proportion equation
   89,398 : 186,147 = 186,147 : x
2. Step 2: Convert to fraction form
   89,398/186,147 = 186,147/x
3. Step 3: Cross multiply
   89,398x = 186,147 × 186,147
4. Step 4: Simplify right side
   89,398x = 34,650,705,609
5. Step 5: Solve for x
   x = 34,650,705,609/89,398
6. Step 6: Final answer
   x = 387,600.46