Finding the Third Proportional to 214,884 and 472,656

Step by Step Solution

1. Step 1: Write the proportion equation
   214,884 : 472,656 = 472,656 : x
2. Step 2: Convert to fraction form
   214,884/472,656 = 472,656/x
3. Step 3: Cross multiply
   214,884x = 472,656 × 472,656
4. Step 4: Simplify right side
   214,884x = 223,403,694,336
5. Step 5: Solve for x
   x = 223,403,694,336/214,884
6. Step 6: Final answer
   x = 1,039,647.88