Finding the Third Proportional to 82,941 and 125,010

Step by Step Solution

1. Step 1: Write the proportion equation
   82,941 : 125,010 = 125,010 : x
2. Step 2: Convert to fraction form
   82,941/125,010 = 125,010/x
3. Step 3: Cross multiply
   82,941x = 125,010 × 125,010
4. Step 4: Simplify right side
   82,941x = 15,627,500,100
5. Step 5: Solve for x
   x = 15,627,500,100/82,941
6. Step 6: Final answer
   x = 188,417.07