Finding the Third Proportional to 65,024 and 141,952

Step by Step Solution

1. Step 1: Write the proportion equation
   65,024 : 141,952 = 141,952 : x
2. Step 2: Convert to fraction form
   65,024/141,952 = 141,952/x
3. Step 3: Cross multiply
   65,024x = 141,952 × 141,952
4. Step 4: Simplify right side
   65,024x = 20,150,370,304
5. Step 5: Solve for x
   x = 20,150,370,304/65,024
6. Step 6: Final answer
   x = 309,891.28