Finding the Third Proportional to 320,078 and 495,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,078 : 495,574.50 = 495,574.50 : x
2. Step 2: Convert to fraction form
   320,078/495,574.50 = 495,574.50/x
3. Step 3: Cross multiply
   320,078x = 495,574.50 × 495,574.50
4. Step 4: Simplify right side
   320,078x = 245,594,085,050.25
5. Step 5: Solve for x
   x = 245,594,085,050.25/320,078
6. Step 6: Final answer
   x = 767,294.49