Finding the Third Proportional to 65,582 and 140,722

Step by Step Solution

1. Step 1: Write the proportion equation
   65,582 : 140,722 = 140,722 : x
2. Step 2: Convert to fraction form
   65,582/140,722 = 140,722/x
3. Step 3: Cross multiply
   65,582x = 140,722 × 140,722
4. Step 4: Simplify right side
   65,582x = 19,802,681,284
5. Step 5: Solve for x
   x = 19,802,681,284/65,582
6. Step 6: Final answer
   x = 301,952.99