Finding the Third Proportional to 386,044 and 582,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,044 : 582,103.50 = 582,103.50 : x
2. Step 2: Convert to fraction form
   386,044/582,103.50 = 582,103.50/x
3. Step 3: Cross multiply
   386,044x = 582,103.50 × 582,103.50
4. Step 4: Simplify right side
   386,044x = 338,844,484,712.25
5. Step 5: Solve for x
   x = 338,844,484,712.25/386,044
6. Step 6: Final answer
   x = 877,735.40