Finding the Third Proportional to 213,138 and 466,884

Step by Step Solution

1. Step 1: Write the proportion equation
   213,138 : 466,884 = 466,884 : x
2. Step 2: Convert to fraction form
   213,138/466,884 = 466,884/x
3. Step 3: Cross multiply
   213,138x = 466,884 × 466,884
4. Step 4: Simplify right side
   213,138x = 217,980,669,456
5. Step 5: Solve for x
   x = 217,980,669,456/213,138
6. Step 6: Final answer
   x = 1,022,720.82