Finding the Third Proportional to 55,838 and 121,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,838 : 121,524.50 = 121,524.50 : x
2. Step 2: Convert to fraction form
   55,838/121,524.50 = 121,524.50/x
3. Step 3: Cross multiply
   55,838x = 121,524.50 × 121,524.50
4. Step 4: Simplify right side
   55,838x = 14,768,204,100.25
5. Step 5: Solve for x
   x = 14,768,204,100.25/55,838
6. Step 6: Final answer
   x = 264,483.04