Finding the Third Proportional to 65,274 and 142,986

Step by Step Solution

1. Step 1: Write the proportion equation
   65,274 : 142,986 = 142,986 : x
2. Step 2: Convert to fraction form
   65,274/142,986 = 142,986/x
3. Step 3: Cross multiply
   65,274x = 142,986 × 142,986
4. Step 4: Simplify right side
   65,274x = 20,444,996,196
5. Step 5: Solve for x
   x = 20,444,996,196/65,274
6. Step 6: Final answer
   x = 313,218.07