Finding the Third Proportional to 120,189.50 and 186,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,189.50 : 186,839.50 = 186,839.50 : x
2. Step 2: Convert to fraction form
   120,189.50/186,839.50 = 186,839.50/x
3. Step 3: Cross multiply
   120,189.50x = 186,839.50 × 186,839.50
4. Step 4: Simplify right side
   120,189.50x = 34,908,998,760.25
5. Step 5: Solve for x
   x = 34,908,998,760.25/120,189.50
6. Step 6: Final answer
   x = 290,449.65