Finding the Third Proportional to 65,892 and 144,336

Step by Step Solution

1. Step 1: Write the proportion equation
   65,892 : 144,336 = 144,336 : x
2. Step 2: Convert to fraction form
   65,892/144,336 = 144,336/x
3. Step 3: Cross multiply
   65,892x = 144,336 × 144,336
4. Step 4: Simplify right side
   65,892x = 20,832,880,896
5. Step 5: Solve for x
   x = 20,832,880,896/65,892
6. Step 6: Final answer
   x = 316,167.07