Finding the Third Proportional to 140,192 and 214,380

Step by Step Solution

1. Step 1: Write the proportion equation
   140,192 : 214,380 = 214,380 : x
2. Step 2: Convert to fraction form
   140,192/214,380 = 214,380/x
3. Step 3: Cross multiply
   140,192x = 214,380 × 214,380
4. Step 4: Simplify right side
   140,192x = 45,958,784,400
5. Step 5: Solve for x
   x = 45,958,784,400/140,192
6. Step 6: Final answer
   x = 327,827.44