Finding the Third Proportional to 90,584 and 199,600

Step by Step Solution

1. Step 1: Write the proportion equation
   90,584 : 199,600 = 199,600 : x
2. Step 2: Convert to fraction form
   90,584/199,600 = 199,600/x
3. Step 3: Cross multiply
   90,584x = 199,600 × 199,600
4. Step 4: Simplify right side
   90,584x = 39,840,160,000
5. Step 5: Solve for x
   x = 39,840,160,000/90,584
6. Step 6: Final answer
   x = 439,814.54