Finding the Third Proportional to 238,460 and 496,504

Step by Step Solution

1. Step 1: Write the proportion equation
   238,460 : 496,504 = 496,504 : x
2. Step 2: Convert to fraction form
   238,460/496,504 = 496,504/x
3. Step 3: Cross multiply
   238,460x = 496,504 × 496,504
4. Step 4: Simplify right side
   238,460x = 246,516,222,016
5. Step 5: Solve for x
   x = 246,516,222,016/238,460
6. Step 6: Final answer
   x = 1,033,784.37