Finding the Third Proportional to 140,429 and 215,337

Step by Step Solution

1. Step 1: Write the proportion equation
   140,429 : 215,337 = 215,337 : x
2. Step 2: Convert to fraction form
   140,429/215,337 = 215,337/x
3. Step 3: Cross multiply
   140,429x = 215,337 × 215,337
4. Step 4: Simplify right side
   140,429x = 46,370,023,569
5. Step 5: Solve for x
   x = 46,370,023,569/140,429
6. Step 6: Final answer
   x = 330,202.62