Finding the Third Proportional to 140,742 and 212,320

Step by Step Solution

1. Step 1: Write the proportion equation
   140,742 : 212,320 = 212,320 : x
2. Step 2: Convert to fraction form
   140,742/212,320 = 212,320/x
3. Step 3: Cross multiply
   140,742x = 212,320 × 212,320
4. Step 4: Simplify right side
   140,742x = 45,079,782,400
5. Step 5: Solve for x
   x = 45,079,782,400/140,742
6. Step 6: Final answer
   x = 320,300.85