Finding the Third Proportional to 49,658 and 101,503

Step by Step Solution

1. Step 1: Write the proportion equation
   49,658 : 101,503 = 101,503 : x
2. Step 2: Convert to fraction form
   49,658/101,503 = 101,503/x
3. Step 3: Cross multiply
   49,658x = 101,503 × 101,503
4. Step 4: Simplify right side
   49,658x = 10,302,859,009
5. Step 5: Solve for x
   x = 10,302,859,009/49,658
6. Step 6: Final answer
   x = 207,476.32