Finding the Third Proportional to 89,397 and 186,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,397 : 186,142.50 = 186,142.50 : x
2. Step 2: Convert to fraction form
   89,397/186,142.50 = 186,142.50/x
3. Step 3: Cross multiply
   89,397x = 186,142.50 × 186,142.50
4. Step 4: Simplify right side
   89,397x = 34,649,030,306.25
5. Step 5: Solve for x
   x = 34,649,030,306.25/89,397
6. Step 6: Final answer
   x = 387,586.05