Finding the Third Proportional to 216,414 and 472,194

Step by Step Solution

1. Step 1: Write the proportion equation
   216,414 : 472,194 = 472,194 : x
2. Step 2: Convert to fraction form
   216,414/472,194 = 472,194/x
3. Step 3: Cross multiply
   216,414x = 472,194 × 472,194
4. Step 4: Simplify right side
   216,414x = 222,967,173,636
5. Step 5: Solve for x
   x = 222,967,173,636/216,414
6. Step 6: Final answer
   x = 1,030,280.73