Finding the Third Proportional to 680,512 and 1,465,016

Step by Step Solution

1. Step 1: Write the proportion equation
   680,512 : 1,465,016 = 1,465,016 : x
2. Step 2: Convert to fraction form
   680,512/1,465,016 = 1,465,016/x
3. Step 3: Cross multiply
   680,512x = 1,465,016 × 1,465,016
4. Step 4: Simplify right side
   680,512x = 2,146,271,880,256
5. Step 5: Solve for x
   x = 2,146,271,880,256/680,512
6. Step 6: Final answer
   x = 3,153,907.47