Finding the Third Proportional to 103,971 and 225,222

Step by Step Solution

1. Step 1: Write the proportion equation
   103,971 : 225,222 = 225,222 : x
2. Step 2: Convert to fraction form
   103,971/225,222 = 225,222/x
3. Step 3: Cross multiply
   103,971x = 225,222 × 225,222
4. Step 4: Simplify right side
   103,971x = 50,724,949,284
5. Step 5: Solve for x
   x = 50,724,949,284/103,971
6. Step 6: Final answer
   x = 487,875.94