Finding the Third Proportional to 140,308 and 214,638

Step by Step Solution

1. Step 1: Write the proportion equation
   140,308 : 214,638 = 214,638 : x
2. Step 2: Convert to fraction form
   140,308/214,638 = 214,638/x
3. Step 3: Cross multiply
   140,308x = 214,638 × 214,638
4. Step 4: Simplify right side
   140,308x = 46,069,471,044
5. Step 5: Solve for x
   x = 46,069,471,044/140,308
6. Step 6: Final answer
   x = 328,345.29