Finding the Third Proportional to 65,815 and 142,561

Step by Step Solution

1. Step 1: Write the proportion equation
   65,815 : 142,561 = 142,561 : x
2. Step 2: Convert to fraction form
   65,815/142,561 = 142,561/x
3. Step 3: Cross multiply
   65,815x = 142,561 × 142,561
4. Step 4: Simplify right side
   65,815x = 20,323,638,721
5. Step 5: Solve for x
   x = 20,323,638,721/65,815
6. Step 6: Final answer
   x = 308,799.49