Finding the Third Proportional to 54,642 and 120,123

Step by Step Solution

1. Step 1: Write the proportion equation
   54,642 : 120,123 = 120,123 : x
2. Step 2: Convert to fraction form
   54,642/120,123 = 120,123/x
3. Step 3: Cross multiply
   54,642x = 120,123 × 120,123
4. Step 4: Simplify right side
   54,642x = 14,429,535,129
5. Step 5: Solve for x
   x = 14,429,535,129/54,642
6. Step 6: Final answer
   x = 264,074.07