Finding the Third Proportional to 65,848 and 144,188

Step by Step Solution

1. Step 1: Write the proportion equation
   65,848 : 144,188 = 144,188 : x
2. Step 2: Convert to fraction form
   65,848/144,188 = 144,188/x
3. Step 3: Cross multiply
   65,848x = 144,188 × 144,188
4. Step 4: Simplify right side
   65,848x = 20,790,179,344
5. Step 5: Solve for x
   x = 20,790,179,344/65,848
6. Step 6: Final answer
   x = 315,729.85