Finding the Third Proportional to 213,120 and 466,848

Step by Step Solution

1. Step 1: Write the proportion equation
   213,120 : 466,848 = 466,848 : x
2. Step 2: Convert to fraction form
   213,120/466,848 = 466,848/x
3. Step 3: Cross multiply
   213,120x = 466,848 × 466,848
4. Step 4: Simplify right side
   213,120x = 217,947,055,104
5. Step 5: Solve for x
   x = 217,947,055,104/213,120
6. Step 6: Final answer
   x = 1,022,649.47