Finding the Third Proportional to 138,420 and 197,940.38

Step by Step Solution

1. Step 1: Write the proportion equation
   138,420 : 197,940.38 = 197,940.38 : x
2. Step 2: Convert to fraction form
   138,420/197,940.38 = 197,940.38/x
3. Step 3: Cross multiply
   138,420x = 197,940.38 × 197,940.38
4. Step 4: Simplify right side
   138,420x = 39,180,392,055.14
5. Step 5: Solve for x
   x = 39,180,392,055.14/138,420
6. Step 6: Final answer
   x = 283,054.41