Finding the Third Proportional to 55,833.50 and 121,509

Step by Step Solution

1. Step 1: Write the proportion equation
   55,833.50 : 121,509 = 121,509 : x
2. Step 2: Convert to fraction form
   55,833.50/121,509 = 121,509/x
3. Step 3: Cross multiply
   55,833.50x = 121,509 × 121,509
4. Step 4: Simplify right side
   55,833.50x = 14,764,437,081
5. Step 5: Solve for x
   x = 14,764,437,081/55,833.50
6. Step 6: Final answer
   x = 264,436.89