Finding the Third Proportional to 65,323 and 142,539

Step by Step Solution

1. Step 1: Write the proportion equation
   65,323 : 142,539 = 142,539 : x
2. Step 2: Convert to fraction form
   65,323/142,539 = 142,539/x
3. Step 3: Cross multiply
   65,323x = 142,539 × 142,539
4. Step 4: Simplify right side
   65,323x = 20,317,366,521
5. Step 5: Solve for x
   x = 20,317,366,521/65,323
6. Step 6: Final answer
   x = 311,029.29