Finding the Third Proportional to 89,397 and 186,144.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,397 : 186,144.75 = 186,144.75 : x
2. Step 2: Convert to fraction form
   89,397/186,144.75 = 186,144.75/x
3. Step 3: Cross multiply
   89,397x = 186,144.75 × 186,144.75
4. Step 4: Simplify right side
   89,397x = 34,649,867,952.56
5. Step 5: Solve for x
   x = 34,649,867,952.56/89,397
6. Step 6: Final answer
   x = 387,595.42