Finding the Third Proportional to 65,764 and 143,827

Step by Step Solution

1. Step 1: Write the proportion equation
   65,764 : 143,827 = 143,827 : x
2. Step 2: Convert to fraction form
   65,764/143,827 = 143,827/x
3. Step 3: Cross multiply
   65,764x = 143,827 × 143,827
4. Step 4: Simplify right side
   65,764x = 20,686,205,929
5. Step 5: Solve for x
   x = 20,686,205,929/65,764
6. Step 6: Final answer
   x = 314,552.12