Finding the Third Proportional to 214,680 and 471,856

Step by Step Solution

1. Step 1: Write the proportion equation
   214,680 : 471,856 = 471,856 : x
2. Step 2: Convert to fraction form
   214,680/471,856 = 471,856/x
3. Step 3: Cross multiply
   214,680x = 471,856 × 471,856
4. Step 4: Simplify right side
   214,680x = 222,648,084,736
5. Step 5: Solve for x
   x = 222,648,084,736/214,680
6. Step 6: Final answer
   x = 1,037,116.10