Finding the Third Proportional to 455,462 and 680,680

Step by Step Solution

1. Step 1: Write the proportion equation
   455,462 : 680,680 = 680,680 : x
2. Step 2: Convert to fraction form
   455,462/680,680 = 680,680/x
3. Step 3: Cross multiply
   455,462x = 680,680 × 680,680
4. Step 4: Simplify right side
   455,462x = 463,325,262,400
5. Step 5: Solve for x
   x = 463,325,262,400/455,462
6. Step 6: Final answer
   x = 1,017,264.37