Finding the Third Proportional to 221,464 and 472,456

Step by Step Solution

1. Step 1: Write the proportion equation
   221,464 : 472,456 = 472,456 : x
2. Step 2: Convert to fraction form
   221,464/472,456 = 472,456/x
3. Step 3: Cross multiply
   221,464x = 472,456 × 472,456
4. Step 4: Simplify right side
   221,464x = 223,214,671,936
5. Step 5: Solve for x
   x = 223,214,671,936/221,464
6. Step 6: Final answer
   x = 1,007,905.00