Finding the Third Proportional to 65,658 and 144,034

Step by Step Solution

1. Step 1: Write the proportion equation
   65,658 : 144,034 = 144,034 : x
2. Step 2: Convert to fraction form
   65,658/144,034 = 144,034/x
3. Step 3: Cross multiply
   65,658x = 144,034 × 144,034
4. Step 4: Simplify right side
   65,658x = 20,745,793,156
5. Step 5: Solve for x
   x = 20,745,793,156/65,658
6. Step 6: Final answer
   x = 315,967.49