Finding the Third Proportional to 40,170 and 83,526

Step by Step Solution

1. Step 1: Write the proportion equation
   40,170 : 83,526 = 83,526 : x
2. Step 2: Convert to fraction form
   40,170/83,526 = 83,526/x
3. Step 3: Cross multiply
   40,170x = 83,526 × 83,526
4. Step 4: Simplify right side
   40,170x = 6,976,592,676
5. Step 5: Solve for x
   x = 6,976,592,676/40,170
6. Step 6: Final answer
   x = 173,676.69