Finding the Third Proportional to 90,384 and 194,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,384 : 194,740.50 = 194,740.50 : x
2. Step 2: Convert to fraction form
   90,384/194,740.50 = 194,740.50/x
3. Step 3: Cross multiply
   90,384x = 194,740.50 × 194,740.50
4. Step 4: Simplify right side
   90,384x = 37,923,862,340.25
5. Step 5: Solve for x
   x = 37,923,862,340.25/90,384
6. Step 6: Final answer
   x = 419,586.01