Finding the Third Proportional to 134,778 and 199,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,778 : 199,540.50 = 199,540.50 : x
2. Step 2: Convert to fraction form
   134,778/199,540.50 = 199,540.50/x
3. Step 3: Cross multiply
   134,778x = 199,540.50 × 199,540.50
4. Step 4: Simplify right side
   134,778x = 39,816,411,140.25
5. Step 5: Solve for x
   x = 39,816,411,140.25/134,778
6. Step 6: Final answer
   x = 295,422.18