Finding the Third Proportional to 134,649 and 199,369.69

Step by Step Solution

1. Step 1: Write the proportion equation
   134,649 : 199,369.69 = 199,369.69 : x
2. Step 2: Convert to fraction form
   134,649/199,369.69 = 199,369.69/x
3. Step 3: Cross multiply
   134,649x = 199,369.69 × 199,369.69
4. Step 4: Simplify right side
   134,649x = 39,748,272,293.85
5. Step 5: Solve for x
   x = 39,748,272,293.85/134,649
6. Step 6: Final answer
   x = 295,199.16