Finding the Third Proportional to 65,072 and 142,816

Step by Step Solution

1. Step 1: Write the proportion equation
   65,072 : 142,816 = 142,816 : x
2. Step 2: Convert to fraction form
   65,072/142,816 = 142,816/x
3. Step 3: Cross multiply
   65,072x = 142,816 × 142,816
4. Step 4: Simplify right side
   65,072x = 20,396,409,856
5. Step 5: Solve for x
   x = 20,396,409,856/65,072
6. Step 6: Final answer
   x = 313,443.72