Finding the Third Proportional to 49,114 and 100,294

Step by Step Solution

1. Step 1: Write the proportion equation
   49,114 : 100,294 = 100,294 : x
2. Step 2: Convert to fraction form
   49,114/100,294 = 100,294/x
3. Step 3: Cross multiply
   49,114x = 100,294 × 100,294
4. Step 4: Simplify right side
   49,114x = 10,058,886,436
5. Step 5: Solve for x
   x = 10,058,886,436/49,114
6. Step 6: Final answer
   x = 204,806.91