Finding the Third Proportional to 230,564 and 496,696

Step by Step Solution

1. Step 1: Write the proportion equation
   230,564 : 496,696 = 496,696 : x
2. Step 2: Convert to fraction form
   230,564/496,696 = 496,696/x
3. Step 3: Cross multiply
   230,564x = 496,696 × 496,696
4. Step 4: Simplify right side
   230,564x = 246,706,916,416
5. Step 5: Solve for x
   x = 246,706,916,416/230,564
6. Step 6: Final answer
   x = 1,070,014.90