Finding the Third Proportional to 213,800 and 467,696

Step by Step Solution

1. Step 1: Write the proportion equation
   213,800 : 467,696 = 467,696 : x
2. Step 2: Convert to fraction form
   213,800/467,696 = 467,696/x
3. Step 3: Cross multiply
   213,800x = 467,696 × 467,696
4. Step 4: Simplify right side
   213,800x = 218,739,548,416
5. Step 5: Solve for x
   x = 218,739,548,416/213,800
6. Step 6: Final answer
   x = 1,023,103.59