Finding the Third Proportional to 123,681 and 199,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,681 : 199,138.50 = 199,138.50 : x
2. Step 2: Convert to fraction form
   123,681/199,138.50 = 199,138.50/x
3. Step 3: Cross multiply
   123,681x = 199,138.50 × 199,138.50
4. Step 4: Simplify right side
   123,681x = 39,656,142,182.25
5. Step 5: Solve for x
   x = 39,656,142,182.25/123,681
6. Step 6: Final answer
   x = 320,632.45