Finding the Third Proportional to 120,166.50 and 188,499

Step by Step Solution

1. Step 1: Write the proportion equation
   120,166.50 : 188,499 = 188,499 : x
2. Step 2: Convert to fraction form
   120,166.50/188,499 = 188,499/x
3. Step 3: Cross multiply
   120,166.50x = 188,499 × 188,499
4. Step 4: Simplify right side
   120,166.50x = 35,531,873,001
5. Step 5: Solve for x
   x = 35,531,873,001/120,166.50
6. Step 6: Final answer
   x = 295,688.67