Finding the Third Proportional to 90,616.50 and 194,355

Step by Step Solution

1. Step 1: Write the proportion equation
   90,616.50 : 194,355 = 194,355 : x
2. Step 2: Convert to fraction form
   90,616.50/194,355 = 194,355/x
3. Step 3: Cross multiply
   90,616.50x = 194,355 × 194,355
4. Step 4: Simplify right side
   90,616.50x = 37,773,866,025
5. Step 5: Solve for x
   x = 37,773,866,025/90,616.50
6. Step 6: Final answer
   x = 416,854.17