Finding the Third Proportional to 65,782 and 144,686

Step by Step Solution

1. Step 1: Write the proportion equation
   65,782 : 144,686 = 144,686 : x
2. Step 2: Convert to fraction form
   65,782/144,686 = 144,686/x
3. Step 3: Cross multiply
   65,782x = 144,686 × 144,686
4. Step 4: Simplify right side
   65,782x = 20,934,038,596
5. Step 5: Solve for x
   x = 20,934,038,596/65,782
6. Step 6: Final answer
   x = 318,233.54