Finding the Third Proportional to 65,416 and 142,640

Step by Step Solution

1. Step 1: Write the proportion equation
   65,416 : 142,640 = 142,640 : x
2. Step 2: Convert to fraction form
   65,416/142,640 = 142,640/x
3. Step 3: Cross multiply
   65,416x = 142,640 × 142,640
4. Step 4: Simplify right side
   65,416x = 20,346,169,600
5. Step 5: Solve for x
   x = 20,346,169,600/65,416
6. Step 6: Final answer
   x = 311,027.42