Finding the Third Proportional to 49,793 and 107,510

Step by Step Solution

1. Step 1: Write the proportion equation
   49,793 : 107,510 = 107,510 : x
2. Step 2: Convert to fraction form
   49,793/107,510 = 107,510/x
3. Step 3: Cross multiply
   49,793x = 107,510 × 107,510
4. Step 4: Simplify right side
   49,793x = 11,558,400,100
5. Step 5: Solve for x
   x = 11,558,400,100/49,793
6. Step 6: Final answer
   x = 232,129.02