Finding the Third Proportional to 140,114 and 215,368

Step by Step Solution

1. Step 1: Write the proportion equation
   140,114 : 215,368 = 215,368 : x
2. Step 2: Convert to fraction form
   140,114/215,368 = 215,368/x
3. Step 3: Cross multiply
   140,114x = 215,368 × 215,368
4. Step 4: Simplify right side
   140,114x = 46,383,375,424
5. Step 5: Solve for x
   x = 46,383,375,424/140,114
6. Step 6: Final answer
   x = 331,040.26