Finding the Third Proportional to 119,839.50 and 187,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,839.50 : 187,987.50 = 187,987.50 : x
2. Step 2: Convert to fraction form
   119,839.50/187,987.50 = 187,987.50/x
3. Step 3: Cross multiply
   119,839.50x = 187,987.50 × 187,987.50
4. Step 4: Simplify right side
   119,839.50x = 35,339,300,156.25
5. Step 5: Solve for x
   x = 35,339,300,156.25/119,839.50
6. Step 6: Final answer
   x = 294,888.58