Finding the Third Proportional to 49,092 and 106,500

Step by Step Solution

1. Step 1: Write the proportion equation
   49,092 : 106,500 = 106,500 : x
2. Step 2: Convert to fraction form
   49,092/106,500 = 106,500/x
3. Step 3: Cross multiply
   49,092x = 106,500 × 106,500
4. Step 4: Simplify right side
   49,092x = 11,342,250,000
5. Step 5: Solve for x
   x = 11,342,250,000/49,092
6. Step 6: Final answer
   x = 231,040.70