Finding the Third Proportional to 82,388 and 125,162

Step by Step Solution

1. Step 1: Write the proportion equation
   82,388 : 125,162 = 125,162 : x
2. Step 2: Convert to fraction form
   82,388/125,162 = 125,162/x
3. Step 3: Cross multiply
   82,388x = 125,162 × 125,162
4. Step 4: Simplify right side
   82,388x = 15,665,526,244
5. Step 5: Solve for x
   x = 15,665,526,244/82,388
6. Step 6: Final answer
   x = 190,143.30