Finding the Third Proportional to 119,782.50 and 260,814

Step by Step Solution

1. Step 1: Write the proportion equation
   119,782.50 : 260,814 = 260,814 : x
2. Step 2: Convert to fraction form
   119,782.50/260,814 = 260,814/x
3. Step 3: Cross multiply
   119,782.50x = 260,814 × 260,814
4. Step 4: Simplify right side
   119,782.50x = 68,023,942,596
5. Step 5: Solve for x
   x = 68,023,942,596/119,782.50
6. Step 6: Final answer
   x = 567,895.50