Finding the Third Proportional to 49,123 and 100,309

Step by Step Solution

1. Step 1: Write the proportion equation
   49,123 : 100,309 = 100,309 : x
2. Step 2: Convert to fraction form
   49,123/100,309 = 100,309/x
3. Step 3: Cross multiply
   49,123x = 100,309 × 100,309
4. Step 4: Simplify right side
   49,123x = 10,061,895,481
5. Step 5: Solve for x
   x = 10,061,895,481/49,123
6. Step 6: Final answer
   x = 204,830.64