Finding the Third Proportional to 121,912.50 and 260,727

Step by Step Solution

1. Step 1: Write the proportion equation
   121,912.50 : 260,727 = 260,727 : x
2. Step 2: Convert to fraction form
   121,912.50/260,727 = 260,727/x
3. Step 3: Cross multiply
   121,912.50x = 260,727 × 260,727
4. Step 4: Simplify right side
   121,912.50x = 67,978,568,529
5. Step 5: Solve for x
   x = 67,978,568,529/121,912.50
6. Step 6: Final answer
   x = 557,601.30