Finding the Third Proportional to 55,150 and 119,632

Step by Step Solution

1. Step 1: Write the proportion equation
   55,150 : 119,632 = 119,632 : x
2. Step 2: Convert to fraction form
   55,150/119,632 = 119,632/x
3. Step 3: Cross multiply
   55,150x = 119,632 × 119,632
4. Step 4: Simplify right side
   55,150x = 14,311,815,424
5. Step 5: Solve for x
   x = 14,311,815,424/55,150
6. Step 6: Final answer
   x = 259,507.08