Finding the Third Proportional to 120,179.50 and 188,518

Step by Step Solution

1. Step 1: Write the proportion equation
   120,179.50 : 188,518 = 188,518 : x
2. Step 2: Convert to fraction form
   120,179.50/188,518 = 188,518/x
3. Step 3: Cross multiply
   120,179.50x = 188,518 × 188,518
4. Step 4: Simplify right side
   120,179.50x = 35,539,036,324
5. Step 5: Solve for x
   x = 35,539,036,324/120,179.50
6. Step 6: Final answer
   x = 295,716.29