Finding the Third Proportional to 81,458 and 125,870

Step by Step Solution

1. Step 1: Write the proportion equation
   81,458 : 125,870 = 125,870 : x
2. Step 2: Convert to fraction form
   81,458/125,870 = 125,870/x
3. Step 3: Cross multiply
   81,458x = 125,870 × 125,870
4. Step 4: Simplify right side
   81,458x = 15,843,256,900
5. Step 5: Solve for x
   x = 15,843,256,900/81,458
6. Step 6: Final answer
   x = 194,496.02