Finding the Third Proportional to 1,049,280 and 1,586,400

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049,280 : 1,586,400 = 1,586,400 : x
2. Step 2: Convert to fraction form
   1,049,280/1,586,400 = 1,586,400/x
3. Step 3: Cross multiply
   1,049,280x = 1,586,400 × 1,586,400
4. Step 4: Simplify right side
   1,049,280x = 2,516,664,960,000
5. Step 5: Solve for x
   x = 2,516,664,960,000/1,049,280
6. Step 6: Final answer
   x = 2,398,468.44