Finding the Third Proportional to 128,838.38 and 192,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128,838.38 : 192,665.25 = 192,665.25 : x
2. Step 2: Convert to fraction form
   128,838.38/192,665.25 = 192,665.25/x
3. Step 3: Cross multiply
   128,838.38x = 192,665.25 × 192,665.25
4. Step 4: Simplify right side
   128,838.38x = 37,119,898,557.56
5. Step 5: Solve for x
   x = 37,119,898,557.56/128,838.38
6. Step 6: Final answer
   x = 288,112.13