Finding the Third Proportional to 65,849 and 142,336

Step by Step Solution

1. Step 1: Write the proportion equation
   65,849 : 142,336 = 142,336 : x
2. Step 2: Convert to fraction form
   65,849/142,336 = 142,336/x
3. Step 3: Cross multiply
   65,849x = 142,336 × 142,336
4. Step 4: Simplify right side
   65,849x = 20,259,536,896
5. Step 5: Solve for x
   x = 20,259,536,896/65,849
6. Step 6: Final answer
   x = 307,666.58