Finding the Third Proportional to 256,024 and 368,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,024 : 368,793.50 = 368,793.50 : x
2. Step 2: Convert to fraction form
   256,024/368,793.50 = 368,793.50/x
3. Step 3: Cross multiply
   256,024x = 368,793.50 × 368,793.50
4. Step 4: Simplify right side
   256,024x = 136,008,645,642.25
5. Step 5: Solve for x
   x = 136,008,645,642.25/256,024
6. Step 6: Final answer
   x = 531,233.97