Finding the Third Proportional to 219,538 and 472,308

Step by Step Solution

1. Step 1: Write the proportion equation
   219,538 : 472,308 = 472,308 : x
2. Step 2: Convert to fraction form
   219,538/472,308 = 472,308/x
3. Step 3: Cross multiply
   219,538x = 472,308 × 472,308
4. Step 4: Simplify right side
   219,538x = 223,074,846,864
5. Step 5: Solve for x
   x = 223,074,846,864/219,538
6. Step 6: Final answer
   x = 1,016,110.41