Finding the Third Proportional to 587,664 and 1,286,064

Step by Step Solution

1. Step 1: Write the proportion equation
   587,664 : 1,286,064 = 1,286,064 : x
2. Step 2: Convert to fraction form
   587,664/1,286,064 = 1,286,064/x
3. Step 3: Cross multiply
   587,664x = 1,286,064 × 1,286,064
4. Step 4: Simplify right side
   587,664x = 1,653,960,612,096
5. Step 5: Solve for x
   x = 1,653,960,612,096/587,664
6. Step 6: Final answer
   x = 2,814,466.45