Finding the Third Proportional to 225,808 and 497,696

Step by Step Solution

1. Step 1: Write the proportion equation
   225,808 : 497,696 = 497,696 : x
2. Step 2: Convert to fraction form
   225,808/497,696 = 497,696/x
3. Step 3: Cross multiply
   225,808x = 497,696 × 497,696
4. Step 4: Simplify right side
   225,808x = 247,701,308,416
5. Step 5: Solve for x
   x = 247,701,308,416/225,808
6. Step 6: Final answer
   x = 1,096,955.42