Finding the Third Proportional to 722,144 and 1,584,320

Step by Step Solution

1. Step 1: Write the proportion equation
   722,144 : 1,584,320 = 1,584,320 : x
2. Step 2: Convert to fraction form
   722,144/1,584,320 = 1,584,320/x
3. Step 3: Cross multiply
   722,144x = 1,584,320 × 1,584,320
4. Step 4: Simplify right side
   722,144x = 2,510,069,862,400
5. Step 5: Solve for x
   x = 2,510,069,862,400/722,144
6. Step 6: Final answer
   x = 3,475,857.81