Finding the Third Proportional to 65,948 and 144,388

Step by Step Solution

1. Step 1: Write the proportion equation
   65,948 : 144,388 = 144,388 : x
2. Step 2: Convert to fraction form
   65,948/144,388 = 144,388/x
3. Step 3: Cross multiply
   65,948x = 144,388 × 144,388
4. Step 4: Simplify right side
   65,948x = 20,847,894,544
5. Step 5: Solve for x
   x = 20,847,894,544/65,948
6. Step 6: Final answer
   x = 316,126.26