Finding the Third Proportional to 116,415 and 223,839

Step by Step Solution

1. Step 1: Write the proportion equation
   116,415 : 223,839 = 223,839 : x
2. Step 2: Convert to fraction form
   116,415/223,839 = 223,839/x
3. Step 3: Cross multiply
   116,415x = 223,839 × 223,839
4. Step 4: Simplify right side
   116,415x = 50,103,897,921
5. Step 5: Solve for x
   x = 50,103,897,921/116,415
6. Step 6: Final answer
   x = 430,390.40