Finding the Third Proportional to 65,580 and 142,839

Step by Step Solution

1. Step 1: Write the proportion equation
   65,580 : 142,839 = 142,839 : x
2. Step 2: Convert to fraction form
   65,580/142,839 = 142,839/x
3. Step 3: Cross multiply
   65,580x = 142,839 × 142,839
4. Step 4: Simplify right side
   65,580x = 20,402,979,921
5. Step 5: Solve for x
   x = 20,402,979,921/65,580
6. Step 6: Final answer
   x = 311,115.89