Finding the Third Proportional to 65,772 and 140,301

Step by Step Solution

1. Step 1: Write the proportion equation
   65,772 : 140,301 = 140,301 : x
2. Step 2: Convert to fraction form
   65,772/140,301 = 140,301/x
3. Step 3: Cross multiply
   65,772x = 140,301 × 140,301
4. Step 4: Simplify right side
   65,772x = 19,684,370,601
5. Step 5: Solve for x
   x = 19,684,370,601/65,772
6. Step 6: Final answer
   x = 299,281.92