Finding the Third Proportional to 49,380 and 100,596

Step by Step Solution

1. Step 1: Write the proportion equation
   49,380 : 100,596 = 100,596 : x
2. Step 2: Convert to fraction form
   49,380/100,596 = 100,596/x
3. Step 3: Cross multiply
   49,380x = 100,596 × 100,596
4. Step 4: Simplify right side
   49,380x = 10,119,555,216
5. Step 5: Solve for x
   x = 10,119,555,216/49,380
6. Step 6: Final answer
   x = 204,932.26