Finding the Third Proportional to 111,942 and 230,448

Step by Step Solution

1. Step 1: Write the proportion equation
   111,942 : 230,448 = 230,448 : x
2. Step 2: Convert to fraction form
   111,942/230,448 = 230,448/x
3. Step 3: Cross multiply
   111,942x = 230,448 × 230,448
4. Step 4: Simplify right side
   111,942x = 53,106,280,704
5. Step 5: Solve for x
   x = 53,106,280,704/111,942
6. Step 6: Final answer
   x = 474,408.90