Finding the Third Proportional to 111,950 and 230,468

Step by Step Solution

1. Step 1: Write the proportion equation
   111,950 : 230,468 = 230,468 : x
2. Step 2: Convert to fraction form
   111,950/230,468 = 230,468/x
3. Step 3: Cross multiply
   111,950x = 230,468 × 230,468
4. Step 4: Simplify right side
   111,950x = 53,115,499,024
5. Step 5: Solve for x
   x = 53,115,499,024/111,950
6. Step 6: Final answer
   x = 474,457.34