Finding the Third Proportional to 114,880 and 162,144

Step by Step Solution

1. Step 1: Write the proportion equation
   114,880 : 162,144 = 162,144 : x
2. Step 2: Convert to fraction form
   114,880/162,144 = 162,144/x
3. Step 3: Cross multiply
   114,880x = 162,144 × 162,144
4. Step 4: Simplify right side
   114,880x = 26,290,676,736
5. Step 5: Solve for x
   x = 26,290,676,736/114,880
6. Step 6: Final answer
   x = 228,853.38