Finding the Third Proportional to 282,986 and 616,516

Step by Step Solution

1. Step 1: Write the proportion equation
   282,986 : 616,516 = 616,516 : x
2. Step 2: Convert to fraction form
   282,986/616,516 = 616,516/x
3. Step 3: Cross multiply
   282,986x = 616,516 × 616,516
4. Step 4: Simplify right side
   282,986x = 380,091,978,256
5. Step 5: Solve for x
   x = 380,091,978,256/282,986
6. Step 6: Final answer
   x = 1,343,147.64