Finding the Third Proportional to 90,584 and 185,200

Step by Step Solution

1. Step 1: Write the proportion equation
   90,584 : 185,200 = 185,200 : x
2. Step 2: Convert to fraction form
   90,584/185,200 = 185,200/x
3. Step 3: Cross multiply
   90,584x = 185,200 × 185,200
4. Step 4: Simplify right side
   90,584x = 34,299,040,000
5. Step 5: Solve for x
   x = 34,299,040,000/90,584
6. Step 6: Final answer
   x = 378,643.47