Finding the Third Proportional to 689,214 and 1,460,256

Step by Step Solution

1. Step 1: Write the proportion equation
   689,214 : 1,460,256 = 1,460,256 : x
2. Step 2: Convert to fraction form
   689,214/1,460,256 = 1,460,256/x
3. Step 3: Cross multiply
   689,214x = 1,460,256 × 1,460,256
4. Step 4: Simplify right side
   689,214x = 2,132,347,585,536
5. Step 5: Solve for x
   x = 2,132,347,585,536/689,214
6. Step 6: Final answer
   x = 3,093,883.16