Finding the Third Proportional to 120,286 and 186,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,286 : 186,976.50 = 186,976.50 : x
2. Step 2: Convert to fraction form
   120,286/186,976.50 = 186,976.50/x
3. Step 3: Cross multiply
   120,286x = 186,976.50 × 186,976.50
4. Step 4: Simplify right side
   120,286x = 34,960,211,552.25
5. Step 5: Solve for x
   x = 34,960,211,552.25/120,286
6. Step 6: Final answer
   x = 290,642.40