Finding the Third Proportional to 65,627 and 140,577

Step by Step Solution

1. Step 1: Write the proportion equation
   65,627 : 140,577 = 140,577 : x
2. Step 2: Convert to fraction form
   65,627/140,577 = 140,577/x
3. Step 3: Cross multiply
   65,627x = 140,577 × 140,577
4. Step 4: Simplify right side
   65,627x = 19,761,892,929
5. Step 5: Solve for x
   x = 19,761,892,929/65,627
6. Step 6: Final answer
   x = 301,124.43