Finding the Third Proportional to 65,585 and 144,952

Step by Step Solution

1. Step 1: Write the proportion equation
   65,585 : 144,952 = 144,952 : x
2. Step 2: Convert to fraction form
   65,585/144,952 = 144,952/x
3. Step 3: Cross multiply
   65,585x = 144,952 × 144,952
4. Step 4: Simplify right side
   65,585x = 21,011,082,304
5. Step 5: Solve for x
   x = 21,011,082,304/65,585
6. Step 6: Final answer
   x = 320,364.14