Finding the Third Proportional to 92,880 and 144,144

Step by Step Solution

1. Step 1: Write the proportion equation
   92,880 : 144,144 = 144,144 : x
2. Step 2: Convert to fraction form
   92,880/144,144 = 144,144/x
3. Step 3: Cross multiply
   92,880x = 144,144 × 144,144
4. Step 4: Simplify right side
   92,880x = 20,777,492,736
5. Step 5: Solve for x
   x = 20,777,492,736/92,880
6. Step 6: Final answer
   x = 223,702.55