Finding the Third Proportional to 42,242 and 89,644

Step by Step Solution

1. Step 1: Write the proportion equation
   42,242 : 89,644 = 89,644 : x
2. Step 2: Convert to fraction form
   42,242/89,644 = 89,644/x
3. Step 3: Cross multiply
   42,242x = 89,644 × 89,644
4. Step 4: Simplify right side
   42,242x = 8,036,046,736
5. Step 5: Solve for x
   x = 8,036,046,736/42,242
6. Step 6: Final answer
   x = 190,238.31