Finding the Third Proportional to 55,642.50 and 120,519

Step by Step Solution

1. Step 1: Write the proportion equation
   55,642.50 : 120,519 = 120,519 : x
2. Step 2: Convert to fraction form
   55,642.50/120,519 = 120,519/x
3. Step 3: Cross multiply
   55,642.50x = 120,519 × 120,519
4. Step 4: Simplify right side
   55,642.50x = 14,524,829,361
5. Step 5: Solve for x
   x = 14,524,829,361/55,642.50
6. Step 6: Final answer
   x = 261,038.40