Finding the Third Proportional to 225,258 and 400,434

Step by Step Solution

1. Step 1: Write the proportion equation
   225,258 : 400,434 = 400,434 : x
2. Step 2: Convert to fraction form
   225,258/400,434 = 400,434/x
3. Step 3: Cross multiply
   225,258x = 400,434 × 400,434
4. Step 4: Simplify right side
   225,258x = 160,347,388,356
5. Step 5: Solve for x
   x = 160,347,388,356/225,258
6. Step 6: Final answer
   x = 711,838.82