Finding the Third Proportional to 137,550 and 196,242

Step by Step Solution

1. Step 1: Write the proportion equation
   137,550 : 196,242 = 196,242 : x
2. Step 2: Convert to fraction form
   137,550/196,242 = 196,242/x
3. Step 3: Cross multiply
   137,550x = 196,242 × 196,242
4. Step 4: Simplify right side
   137,550x = 38,510,922,564
5. Step 5: Solve for x
   x = 38,510,922,564/137,550
6. Step 6: Final answer
   x = 279,977.63