Finding the Third Proportional to 65,840 and 140,428

Step by Step Solution

1. Step 1: Write the proportion equation
   65,840 : 140,428 = 140,428 : x
2. Step 2: Convert to fraction form
   65,840/140,428 = 140,428/x
3. Step 3: Cross multiply
   65,840x = 140,428 × 140,428
4. Step 4: Simplify right side
   65,840x = 19,720,023,184
5. Step 5: Solve for x
   x = 19,720,023,184/65,840
6. Step 6: Final answer
   x = 299,514.33