Finding the Third Proportional to 213,096 and 467,664

Step by Step Solution

1. Step 1: Write the proportion equation
   213,096 : 467,664 = 467,664 : x
2. Step 2: Convert to fraction form
   213,096/467,664 = 467,664/x
3. Step 3: Cross multiply
   213,096x = 467,664 × 467,664
4. Step 4: Simplify right side
   213,096x = 218,709,616,896
5. Step 5: Solve for x
   x = 218,709,616,896/213,096
6. Step 6: Final answer
   x = 1,026,343.14