Finding the Third Proportional to 38,852 and 83,240

Step by Step Solution

1. Step 1: Write the proportion equation
   38,852 : 83,240 = 83,240 : x
2. Step 2: Convert to fraction form
   38,852/83,240 = 83,240/x
3. Step 3: Cross multiply
   38,852x = 83,240 × 83,240
4. Step 4: Simplify right side
   38,852x = 6,928,897,600
5. Step 5: Solve for x
   x = 6,928,897,600/38,852
6. Step 6: Final answer
   x = 178,340.82