Finding the Third Proportional to 122,158 and 186,870

Step by Step Solution

1. Step 1: Write the proportion equation
   122,158 : 186,870 = 186,870 : x
2. Step 2: Convert to fraction form
   122,158/186,870 = 186,870/x
3. Step 3: Cross multiply
   122,158x = 186,870 × 186,870
4. Step 4: Simplify right side
   122,158x = 34,920,396,900
5. Step 5: Solve for x
   x = 34,920,396,900/122,158
6. Step 6: Final answer
   x = 285,862.55