Finding the Third Proportional to 212,322 and 464,022

Step by Step Solution

1. Step 1: Write the proportion equation
   212,322 : 464,022 = 464,022 : x
2. Step 2: Convert to fraction form
   212,322/464,022 = 464,022/x
3. Step 3: Cross multiply
   212,322x = 464,022 × 464,022
4. Step 4: Simplify right side
   212,322x = 215,316,416,484
5. Step 5: Solve for x
   x = 215,316,416,484/212,322
6. Step 6: Final answer
   x = 1,014,103.19