Finding the Third Proportional to 226,584 and 497,904

Step by Step Solution

1. Step 1: Write the proportion equation
   226,584 : 497,904 = 497,904 : x
2. Step 2: Convert to fraction form
   226,584/497,904 = 497,904/x
3. Step 3: Cross multiply
   226,584x = 497,904 × 497,904
4. Step 4: Simplify right side
   226,584x = 247,908,393,216
5. Step 5: Solve for x
   x = 247,908,393,216/226,584
6. Step 6: Final answer
   x = 1,094,112.53