Finding the Third Proportional to 59,154 and 128,144

Step by Step Solution

1. Step 1: Write the proportion equation
   59,154 : 128,144 = 128,144 : x
2. Step 2: Convert to fraction form
   59,154/128,144 = 128,144/x
3. Step 3: Cross multiply
   59,154x = 128,144 × 128,144
4. Step 4: Simplify right side
   59,154x = 16,420,884,736
5. Step 5: Solve for x
   x = 16,420,884,736/59,154
6. Step 6: Final answer
   x = 277,595.51