Finding the Third Proportional to 184,320 and 280,128

Step by Step Solution

1. Step 1: Write the proportion equation
   184,320 : 280,128 = 280,128 : x
2. Step 2: Convert to fraction form
   184,320/280,128 = 280,128/x
3. Step 3: Cross multiply
   184,320x = 280,128 × 280,128
4. Step 4: Simplify right side
   184,320x = 78,471,696,384
5. Step 5: Solve for x
   x = 78,471,696,384/184,320
6. Step 6: Final answer
   x = 425,736.20