Finding the Third Proportional to 138,456 and 197,997.75

Step by Step Solution

1. Step 1: Write the proportion equation
   138,456 : 197,997.75 = 197,997.75 : x
2. Step 2: Convert to fraction form
   138,456/197,997.75 = 197,997.75/x
3. Step 3: Cross multiply
   138,456x = 197,997.75 × 197,997.75
4. Step 4: Simplify right side
   138,456x = 39,203,109,005.06
5. Step 5: Solve for x
   x = 39,203,109,005.06/138,456
6. Step 6: Final answer
   x = 283,144.89