Finding the Third Proportional to 82,885 and 125,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,885 : 125,019.50 = 125,019.50 : x
2. Step 2: Convert to fraction form
   82,885/125,019.50 = 125,019.50/x
3. Step 3: Cross multiply
   82,885x = 125,019.50 × 125,019.50
4. Step 4: Simplify right side
   82,885x = 15,629,875,380.25
5. Step 5: Solve for x
   x = 15,629,875,380.25/82,885
6. Step 6: Final answer
   x = 188,573.03