Finding the Third Proportional to 37,744 and 88,144

Step by Step Solution

1. Step 1: Write the proportion equation
   37,744 : 88,144 = 88,144 : x
2. Step 2: Convert to fraction form
   37,744/88,144 = 88,144/x
3. Step 3: Cross multiply
   37,744x = 88,144 × 88,144
4. Step 4: Simplify right side
   37,744x = 7,769,364,736
5. Step 5: Solve for x
   x = 7,769,364,736/37,744
6. Step 6: Final answer
   x = 205,843.70