Finding the Third Proportional to 65,764 and 142,040

Step by Step Solution

1. Step 1: Write the proportion equation
   65,764 : 142,040 = 142,040 : x
2. Step 2: Convert to fraction form
   65,764/142,040 = 142,040/x
3. Step 3: Cross multiply
   65,764x = 142,040 × 142,040
4. Step 4: Simplify right side
   65,764x = 20,175,361,600
5. Step 5: Solve for x
   x = 20,175,361,600/65,764
6. Step 6: Final answer
   x = 306,784.28