Finding the Third Proportional to 269,238 and 422,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,238 : 422,392.50 = 422,392.50 : x
2. Step 2: Convert to fraction form
   269,238/422,392.50 = 422,392.50/x
3. Step 3: Cross multiply
   269,238x = 422,392.50 × 422,392.50
4. Step 4: Simplify right side
   269,238x = 178,415,424,056.25
5. Step 5: Solve for x
   x = 178,415,424,056.25/269,238
6. Step 6: Final answer
   x = 662,668.06