Finding the Third Proportional to 338,314 and 503,826

Step by Step Solution

1. Step 1: Write the proportion equation
   338,314 : 503,826 = 503,826 : x
2. Step 2: Convert to fraction form
   338,314/503,826 = 503,826/x
3. Step 3: Cross multiply
   338,314x = 503,826 × 503,826
4. Step 4: Simplify right side
   338,314x = 253,840,638,276
5. Step 5: Solve for x
   x = 253,840,638,276/338,314
6. Step 6: Final answer
   x = 750,310.77