Finding the Third Proportional to 119,739 and 187,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,739 : 187,834.50 = 187,834.50 : x
2. Step 2: Convert to fraction form
   119,739/187,834.50 = 187,834.50/x
3. Step 3: Cross multiply
   119,739x = 187,834.50 × 187,834.50
4. Step 4: Simplify right side
   119,739x = 35,281,799,390.25
5. Step 5: Solve for x
   x = 35,281,799,390.25/119,739
6. Step 6: Final answer
   x = 294,655.87