Finding the Third Proportional to 116,417 and 223,843

Step by Step Solution

1. Step 1: Write the proportion equation
   116,417 : 223,843 = 223,843 : x
2. Step 2: Convert to fraction form
   116,417/223,843 = 223,843/x
3. Step 3: Cross multiply
   116,417x = 223,843 × 223,843
4. Step 4: Simplify right side
   116,417x = 50,105,688,649
5. Step 5: Solve for x
   x = 50,105,688,649/116,417
6. Step 6: Final answer
   x = 430,398.38