Finding the Third Proportional to 55,786.50 and 121,416

Step by Step Solution

1. Step 1: Write the proportion equation
   55,786.50 : 121,416 = 121,416 : x
2. Step 2: Convert to fraction form
   55,786.50/121,416 = 121,416/x
3. Step 3: Cross multiply
   55,786.50x = 121,416 × 121,416
4. Step 4: Simplify right side
   55,786.50x = 14,741,845,056
5. Step 5: Solve for x
   x = 14,741,845,056/55,786.50
6. Step 6: Final answer
   x = 264,254.70