Finding the Third Proportional to 87,584 and 189,280

Step by Step Solution

1. Step 1: Write the proportion equation
   87,584 : 189,280 = 189,280 : x
2. Step 2: Convert to fraction form
   87,584/189,280 = 189,280/x
3. Step 3: Cross multiply
   87,584x = 189,280 × 189,280
4. Step 4: Simplify right side
   87,584x = 35,826,918,400
5. Step 5: Solve for x
   x = 35,826,918,400/87,584
6. Step 6: Final answer
   x = 409,057.80