Finding the Third Proportional to 214,992 and 468,216

Step by Step Solution

1. Step 1: Write the proportion equation
   214,992 : 468,216 = 468,216 : x
2. Step 2: Convert to fraction form
   214,992/468,216 = 468,216/x
3. Step 3: Cross multiply
   214,992x = 468,216 × 468,216
4. Step 4: Simplify right side
   214,992x = 219,226,222,656
5. Step 5: Solve for x
   x = 219,226,222,656/214,992
6. Step 6: Final answer
   x = 1,019,694.79