Finding the Third Proportional to 65,796 and 142,680

Step by Step Solution

1. Step 1: Write the proportion equation
   65,796 : 142,680 = 142,680 : x
2. Step 2: Convert to fraction form
   65,796/142,680 = 142,680/x
3. Step 3: Cross multiply
   65,796x = 142,680 × 142,680
4. Step 4: Simplify right side
   65,796x = 20,357,582,400
5. Step 5: Solve for x
   x = 20,357,582,400/65,796
6. Step 6: Final answer
   x = 309,404.56