Finding the Third Proportional to 55,112 and 120,412

Step by Step Solution

1. Step 1: Write the proportion equation
   55,112 : 120,412 = 120,412 : x
2. Step 2: Convert to fraction form
   55,112/120,412 = 120,412/x
3. Step 3: Cross multiply
   55,112x = 120,412 × 120,412
4. Step 4: Simplify right side
   55,112x = 14,499,049,744
5. Step 5: Solve for x
   x = 14,499,049,744/55,112
6. Step 6: Final answer
   x = 263,083.35