Finding the Third Proportional to 111,410 and 230,200

Step by Step Solution

1. Step 1: Write the proportion equation
   111,410 : 230,200 = 230,200 : x
2. Step 2: Convert to fraction form
   111,410/230,200 = 230,200/x
3. Step 3: Cross multiply
   111,410x = 230,200 × 230,200
4. Step 4: Simplify right side
   111,410x = 52,992,040,000
5. Step 5: Solve for x
   x = 52,992,040,000/111,410
6. Step 6: Final answer
   x = 475,648.86