Finding the Third Proportional to 366,584 and 766,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   366,584 : 766,685.50 = 766,685.50 : x
2. Step 2: Convert to fraction form
   366,584/766,685.50 = 766,685.50/x
3. Step 3: Cross multiply
   366,584x = 766,685.50 × 766,685.50
4. Step 4: Simplify right side
   366,584x = 587,806,655,910.25
5. Step 5: Solve for x
   x = 587,806,655,910.25/366,584
6. Step 6: Final answer
   x = 1,603,470.57