Finding the Third Proportional to 87,384 and 205,404

Step by Step Solution

1. Step 1: Write the proportion equation
   87,384 : 205,404 = 205,404 : x
2. Step 2: Convert to fraction form
   87,384/205,404 = 205,404/x
3. Step 3: Cross multiply
   87,384x = 205,404 × 205,404
4. Step 4: Simplify right side
   87,384x = 42,190,803,216
5. Step 5: Solve for x
   x = 42,190,803,216/87,384
6. Step 6: Final answer
   x = 482,820.69