Finding the Third Proportional to 105,440 and 230,336

Step by Step Solution

1. Step 1: Write the proportion equation
   105,440 : 230,336 = 230,336 : x
2. Step 2: Convert to fraction form
   105,440/230,336 = 230,336/x
3. Step 3: Cross multiply
   105,440x = 230,336 × 230,336
4. Step 4: Simplify right side
   105,440x = 53,054,672,896
5. Step 5: Solve for x
   x = 53,054,672,896/105,440
6. Step 6: Final answer
   x = 503,174.06