Finding the Third Proportional to 460,584 and 677,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   460,584 : 677,704.50 = 677,704.50 : x
2. Step 2: Convert to fraction form
   460,584/677,704.50 = 677,704.50/x
3. Step 3: Cross multiply
   460,584x = 677,704.50 × 677,704.50
4. Step 4: Simplify right side
   460,584x = 459,283,389,320.25
5. Step 5: Solve for x
   x = 459,283,389,320.25/460,584
6. Step 6: Final answer
   x = 997,176.17