Finding the Third Proportional to 138,474 and 198,021.38

Step by Step Solution

1. Step 1: Write the proportion equation
   138,474 : 198,021.38 = 198,021.38 : x
2. Step 2: Convert to fraction form
   138,474/198,021.38 = 198,021.38/x
3. Step 3: Cross multiply
   138,474x = 198,021.38 × 198,021.38
4. Step 4: Simplify right side
   138,474x = 39,212,464,956.89
5. Step 5: Solve for x
   x = 39,212,464,956.89/138,474
6. Step 6: Final answer
   x = 283,175.65