Finding the Third Proportional to 42,772 and 103,042

Step by Step Solution

1. Step 1: Write the proportion equation
   42,772 : 103,042 = 103,042 : x
2. Step 2: Convert to fraction form
   42,772/103,042 = 103,042/x
3. Step 3: Cross multiply
   42,772x = 103,042 × 103,042
4. Step 4: Simplify right side
   42,772x = 10,617,653,764
5. Step 5: Solve for x
   x = 10,617,653,764/42,772
6. Step 6: Final answer
   x = 248,238.42