Finding the Third Proportional to 210,578 and 460,522

Step by Step Solution

1. Step 1: Write the proportion equation
   210,578 : 460,522 = 460,522 : x
2. Step 2: Convert to fraction form
   210,578/460,522 = 460,522/x
3. Step 3: Cross multiply
   210,578x = 460,522 × 460,522
4. Step 4: Simplify right side
   210,578x = 212,080,512,484
5. Step 5: Solve for x
   x = 212,080,512,484/210,578
6. Step 6: Final answer
   x = 1,007,135.18