Finding the Third Proportional to 208,464 and 456,144

Step by Step Solution

1. Step 1: Write the proportion equation
   208,464 : 456,144 = 456,144 : x
2. Step 2: Convert to fraction form
   208,464/456,144 = 456,144/x
3. Step 3: Cross multiply
   208,464x = 456,144 × 456,144
4. Step 4: Simplify right side
   208,464x = 208,067,348,736
5. Step 5: Solve for x
   x = 208,067,348,736/208,464
6. Step 6: Final answer
   x = 998,097.27