Finding the Third Proportional to 686,992 and 1,465,284

Step by Step Solution

1. Step 1: Write the proportion equation
   686,992 : 1,465,284 = 1,465,284 : x
2. Step 2: Convert to fraction form
   686,992/1,465,284 = 1,465,284/x
3. Step 3: Cross multiply
   686,992x = 1,465,284 × 1,465,284
4. Step 4: Simplify right side
   686,992x = 2,147,057,200,656
5. Step 5: Solve for x
   x = 2,147,057,200,656/686,992
6. Step 6: Final answer
   x = 3,125,301.61