Finding the Third Proportional to 128,256 and 191,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,256 : 191,665.50 = 191,665.50 : x
2. Step 2: Convert to fraction form
   128,256/191,665.50 = 191,665.50/x
3. Step 3: Cross multiply
   128,256x = 191,665.50 × 191,665.50
4. Step 4: Simplify right side
   128,256x = 36,735,663,890.25
5. Step 5: Solve for x
   x = 36,735,663,890.25/128,256
6. Step 6: Final answer
   x = 286,424.53