Finding the Third Proportional to 90,949.50 and 186,408

Step by Step Solution

1. Step 1: Write the proportion equation
   90,949.50 : 186,408 = 186,408 : x
2. Step 2: Convert to fraction form
   90,949.50/186,408 = 186,408/x
3. Step 3: Cross multiply
   90,949.50x = 186,408 × 186,408
4. Step 4: Simplify right side
   90,949.50x = 34,747,942,464
5. Step 5: Solve for x
   x = 34,747,942,464/90,949.50
6. Step 6: Final answer
   x = 382,057.54