Finding the Third Proportional to 38,828 and 85,144

Step by Step Solution

1. Step 1: Write the proportion equation
   38,828 : 85,144 = 85,144 : x
2. Step 2: Convert to fraction form
   38,828/85,144 = 85,144/x
3. Step 3: Cross multiply
   38,828x = 85,144 × 85,144
4. Step 4: Simplify right side
   38,828x = 7,249,500,736
5. Step 5: Solve for x
   x = 7,249,500,736/38,828
6. Step 6: Final answer
   x = 186,708.06