Finding the Third Proportional to 111,417 and 230,213

Step by Step Solution

1. Step 1: Write the proportion equation
   111,417 : 230,213 = 230,213 : x
2. Step 2: Convert to fraction form
   111,417/230,213 = 230,213/x
3. Step 3: Cross multiply
   111,417x = 230,213 × 230,213
4. Step 4: Simplify right side
   111,417x = 52,998,025,369
5. Step 5: Solve for x
   x = 52,998,025,369/111,417
6. Step 6: Final answer
   x = 475,672.70