Finding the Third Proportional to 486,566 and 774,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   486,566 : 774,817.50 = 774,817.50 : x
2. Step 2: Convert to fraction form
   486,566/774,817.50 = 774,817.50/x
3. Step 3: Cross multiply
   486,566x = 774,817.50 × 774,817.50
4. Step 4: Simplify right side
   486,566x = 600,342,158,306.25
5. Step 5: Solve for x
   x = 600,342,158,306.25/486,566
6. Step 6: Final answer
   x = 1,233,835.00