Finding the Third Proportional to 503,244 and 683,856

Step by Step Solution

1. Step 1: Write the proportion equation
   503,244 : 683,856 = 683,856 : x
2. Step 2: Convert to fraction form
   503,244/683,856 = 683,856/x
3. Step 3: Cross multiply
   503,244x = 683,856 × 683,856
4. Step 4: Simplify right side
   503,244x = 467,659,028,736
5. Step 5: Solve for x
   x = 467,659,028,736/503,244
6. Step 6: Final answer
   x = 929,288.83