Finding the Third Proportional to 119,742 and 260,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,742 : 260,806.50 = 260,806.50 : x
2. Step 2: Convert to fraction form
   119,742/260,806.50 = 260,806.50/x
3. Step 3: Cross multiply
   119,742x = 260,806.50 × 260,806.50
4. Step 4: Simplify right side
   119,742x = 68,020,030,442.25
5. Step 5: Solve for x
   x = 68,020,030,442.25/119,742
6. Step 6: Final answer
   x = 568,054.91