Finding the Third Proportional to 65,644 and 143,320

Step by Step Solution

1. Step 1: Write the proportion equation
   65,644 : 143,320 = 143,320 : x
2. Step 2: Convert to fraction form
   65,644/143,320 = 143,320/x
3. Step 3: Cross multiply
   65,644x = 143,320 × 143,320
4. Step 4: Simplify right side
   65,644x = 20,540,622,400
5. Step 5: Solve for x
   x = 20,540,622,400/65,644
6. Step 6: Final answer
   x = 312,909.37