Finding the Third Proportional to 200,112 and 427,008

Step by Step Solution

1. Step 1: Write the proportion equation
   200,112 : 427,008 = 427,008 : x
2. Step 2: Convert to fraction form
   200,112/427,008 = 427,008/x
3. Step 3: Cross multiply
   200,112x = 427,008 × 427,008
4. Step 4: Simplify right side
   200,112x = 182,335,832,064
5. Step 5: Solve for x
   x = 182,335,832,064/200,112
6. Step 6: Final answer
   x = 911,168.91