Finding the Third Proportional to 128,128 and 191,144

Step by Step Solution

1. Step 1: Write the proportion equation
   128,128 : 191,144 = 191,144 : x
2. Step 2: Convert to fraction form
   128,128/191,144 = 191,144/x
3. Step 3: Cross multiply
   128,128x = 191,144 × 191,144
4. Step 4: Simplify right side
   128,128x = 36,536,028,736
5. Step 5: Solve for x
   x = 36,536,028,736/128,128
6. Step 6: Final answer
   x = 285,152.57