Finding the Third Proportional to 208,707 and 456,774

Step by Step Solution

1. Step 1: Write the proportion equation
   208,707 : 456,774 = 456,774 : x
2. Step 2: Convert to fraction form
   208,707/456,774 = 456,774/x
3. Step 3: Cross multiply
   208,707x = 456,774 × 456,774
4. Step 4: Simplify right side
   208,707x = 208,642,487,076
5. Step 5: Solve for x
   x = 208,642,487,076/208,707
6. Step 6: Final answer
   x = 999,690.89