Finding the Third Proportional to 65,466 and 140,952

Step by Step Solution

1. Step 1: Write the proportion equation
   65,466 : 140,952 = 140,952 : x
2. Step 2: Convert to fraction form
   65,466/140,952 = 140,952/x
3. Step 3: Cross multiply
   65,466x = 140,952 × 140,952
4. Step 4: Simplify right side
   65,466x = 19,867,466,304
5. Step 5: Solve for x
   x = 19,867,466,304/65,466
6. Step 6: Final answer
   x = 303,477.63