Finding the Third Proportional to 60,592 and 128,384

Step by Step Solution

1. Step 1: Write the proportion equation
   60,592 : 128,384 = 128,384 : x
2. Step 2: Convert to fraction form
   60,592/128,384 = 128,384/x
3. Step 3: Cross multiply
   60,592x = 128,384 × 128,384
4. Step 4: Simplify right side
   60,592x = 16,482,451,456
5. Step 5: Solve for x
   x = 16,482,451,456/60,592
6. Step 6: Final answer
   x = 272,023.56