Finding the Third Proportional to 213,870 and 468,564

Step by Step Solution

1. Step 1: Write the proportion equation
   213,870 : 468,564 = 468,564 : x
2. Step 2: Convert to fraction form
   213,870/468,564 = 468,564/x
3. Step 3: Cross multiply
   213,870x = 468,564 × 468,564
4. Step 4: Simplify right side
   213,870x = 219,552,222,096
5. Step 5: Solve for x
   x = 219,552,222,096/213,870
6. Step 6: Final answer
   x = 1,026,568.58