Finding the Third Proportional to 55,022 and 120,158

Step by Step Solution

1. Step 1: Write the proportion equation
   55,022 : 120,158 = 120,158 : x
2. Step 2: Convert to fraction form
   55,022/120,158 = 120,158/x
3. Step 3: Cross multiply
   55,022x = 120,158 × 120,158
4. Step 4: Simplify right side
   55,022x = 14,437,944,964
5. Step 5: Solve for x
   x = 14,437,944,964/55,022
6. Step 6: Final answer
   x = 262,403.13