Finding the Third Proportional to 55,252 and 120,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,252 : 120,952.50 = 120,952.50 : x
2. Step 2: Convert to fraction form
   55,252/120,952.50 = 120,952.50/x
3. Step 3: Cross multiply
   55,252x = 120,952.50 × 120,952.50
4. Step 4: Simplify right side
   55,252x = 14,629,507,256.25
5. Step 5: Solve for x
   x = 14,629,507,256.25/55,252
6. Step 6: Final answer
   x = 264,777.88