Finding the Third Proportional to 65,600 and 140,756

Step by Step Solution

1. Step 1: Write the proportion equation
   65,600 : 140,756 = 140,756 : x
2. Step 2: Convert to fraction form
   65,600/140,756 = 140,756/x
3. Step 3: Cross multiply
   65,600x = 140,756 × 140,756
4. Step 4: Simplify right side
   65,600x = 19,812,251,536
5. Step 5: Solve for x
   x = 19,812,251,536/65,600
6. Step 6: Final answer
   x = 302,016.03