Finding the Third Proportional to 210,826 and 456,644

Step by Step Solution

1. Step 1: Write the proportion equation
   210,826 : 456,644 = 456,644 : x
2. Step 2: Convert to fraction form
   210,826/456,644 = 456,644/x
3. Step 3: Cross multiply
   210,826x = 456,644 × 456,644
4. Step 4: Simplify right side
   210,826x = 208,523,742,736
5. Step 5: Solve for x
   x = 208,523,742,736/210,826
6. Step 6: Final answer
   x = 989,079.82