Finding the Third Proportional to 120,211 and 186,870

Step by Step Solution

1. Step 1: Write the proportion equation
   120,211 : 186,870 = 186,870 : x
2. Step 2: Convert to fraction form
   120,211/186,870 = 186,870/x
3. Step 3: Cross multiply
   120,211x = 186,870 × 186,870
4. Step 4: Simplify right side
   120,211x = 34,920,396,900
5. Step 5: Solve for x
   x = 34,920,396,900/120,211
6. Step 6: Final answer
   x = 290,492.52