Finding the Third Proportional to 586,314 and 1,284,849

Step by Step Solution

1. Step 1: Write the proportion equation
   586,314 : 1,284,849 = 1,284,849 : x
2. Step 2: Convert to fraction form
   586,314/1,284,849 = 1,284,849/x
3. Step 3: Cross multiply
   586,314x = 1,284,849 × 1,284,849
4. Step 4: Simplify right side
   586,314x = 1,650,836,952,801
5. Step 5: Solve for x
   x = 1,650,836,952,801/586,314
6. Step 6: Final answer
   x = 2,815,619.20