Finding the Third Proportional to 689,216 and 1,460,260

Step by Step Solution

1. Step 1: Write the proportion equation
   689,216 : 1,460,260 = 1,460,260 : x
2. Step 2: Convert to fraction form
   689,216/1,460,260 = 1,460,260/x
3. Step 3: Cross multiply
   689,216x = 1,460,260 × 1,460,260
4. Step 4: Simplify right side
   689,216x = 2,132,359,267,600
5. Step 5: Solve for x
   x = 2,132,359,267,600/689,216
6. Step 6: Final answer
   x = 3,093,891.13