Finding the Third Proportional to 386,565 and 544,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,565 : 544,369.50 = 544,369.50 : x
2. Step 2: Convert to fraction form
   386,565/544,369.50 = 544,369.50/x
3. Step 3: Cross multiply
   386,565x = 544,369.50 × 544,369.50
4. Step 4: Simplify right side
   386,565x = 296,338,152,530.25
5. Step 5: Solve for x
   x = 296,338,152,530.25/386,565
6. Step 6: Final answer
   x = 766,593.33