Finding the Third Proportional to 140,400 and 212,112

Step by Step Solution

1. Step 1: Write the proportion equation
   140,400 : 212,112 = 212,112 : x
2. Step 2: Convert to fraction form
   140,400/212,112 = 212,112/x
3. Step 3: Cross multiply
   140,400x = 212,112 × 212,112
4. Step 4: Simplify right side
   140,400x = 44,991,500,544
5. Step 5: Solve for x
   x = 44,991,500,544/140,400
6. Step 6: Final answer
   x = 320,452.28