Finding the Third Proportional to 359,735.50 and 769,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,735.50 : 769,317.50 = 769,317.50 : x
2. Step 2: Convert to fraction form
   359,735.50/769,317.50 = 769,317.50/x
3. Step 3: Cross multiply
   359,735.50x = 769,317.50 × 769,317.50
4. Step 4: Simplify right side
   359,735.50x = 591,849,415,806.25
5. Step 5: Solve for x
   x = 591,849,415,806.25/359,735.50
6. Step 6: Final answer
   x = 1,645,234.95