Finding the Third Proportional to 82,856 and 124,075

Step by Step Solution

1. Step 1: Write the proportion equation
   82,856 : 124,075 = 124,075 : x
2. Step 2: Convert to fraction form
   82,856/124,075 = 124,075/x
3. Step 3: Cross multiply
   82,856x = 124,075 × 124,075
4. Step 4: Simplify right side
   82,856x = 15,394,605,625
5. Step 5: Solve for x
   x = 15,394,605,625/82,856
6. Step 6: Final answer
   x = 185,799.53