Finding the Third Proportional to 49,197 and 115,500

Step by Step Solution

1. Step 1: Write the proportion equation
   49,197 : 115,500 = 115,500 : x
2. Step 2: Convert to fraction form
   49,197/115,500 = 115,500/x
3. Step 3: Cross multiply
   49,197x = 115,500 × 115,500
4. Step 4: Simplify right side
   49,197x = 13,340,250,000
5. Step 5: Solve for x
   x = 13,340,250,000/49,197
6. Step 6: Final answer
   x = 271,159.83