Finding the Third Proportional to 65,936 and 142,816

Step by Step Solution

1. Step 1: Write the proportion equation
   65,936 : 142,816 = 142,816 : x
2. Step 2: Convert to fraction form
   65,936/142,816 = 142,816/x
3. Step 3: Cross multiply
   65,936x = 142,816 × 142,816
4. Step 4: Simplify right side
   65,936x = 20,396,409,856
5. Step 5: Solve for x
   x = 20,396,409,856/65,936
6. Step 6: Final answer
   x = 309,336.48