Finding the Third Proportional to 106,340 and 223,696

Step by Step Solution

1. Step 1: Write the proportion equation
   106,340 : 223,696 = 223,696 : x
2. Step 2: Convert to fraction form
   106,340/223,696 = 223,696/x
3. Step 3: Cross multiply
   106,340x = 223,696 × 223,696
4. Step 4: Simplify right side
   106,340x = 50,039,900,416
5. Step 5: Solve for x
   x = 50,039,900,416/106,340
6. Step 6: Final answer
   x = 470,565.17