Finding the Third Proportional to 210,736 and 456,464

Step by Step Solution

1. Step 1: Write the proportion equation
   210,736 : 456,464 = 456,464 : x
2. Step 2: Convert to fraction form
   210,736/456,464 = 456,464/x
3. Step 3: Cross multiply
   210,736x = 456,464 × 456,464
4. Step 4: Simplify right side
   210,736x = 208,359,383,296
5. Step 5: Solve for x
   x = 208,359,383,296/210,736
6. Step 6: Final answer
   x = 988,722.30