Finding the Third Proportional to 208,112 and 442,144

Step by Step Solution

1. Step 1: Write the proportion equation
   208,112 : 442,144 = 442,144 : x
2. Step 2: Convert to fraction form
   208,112/442,144 = 442,144/x
3. Step 3: Cross multiply
   208,112x = 442,144 × 442,144
4. Step 4: Simplify right side
   208,112x = 195,491,316,736
5. Step 5: Solve for x
   x = 195,491,316,736/208,112
6. Step 6: Final answer
   x = 939,356.29