Finding the Third Proportional to 462,096 and 677,124

Step by Step Solution

1. Step 1: Write the proportion equation
   462,096 : 677,124 = 677,124 : x
2. Step 2: Convert to fraction form
   462,096/677,124 = 677,124/x
3. Step 3: Cross multiply
   462,096x = 677,124 × 677,124
4. Step 4: Simplify right side
   462,096x = 458,496,911,376
5. Step 5: Solve for x
   x = 458,496,911,376/462,096
6. Step 6: Final answer
   x = 992,211.38