Finding the Third Proportional to 49,946 and 113,749

Step by Step Solution

1. Step 1: Write the proportion equation
   49,946 : 113,749 = 113,749 : x
2. Step 2: Convert to fraction form
   49,946/113,749 = 113,749/x
3. Step 3: Cross multiply
   49,946x = 113,749 × 113,749
4. Step 4: Simplify right side
   49,946x = 12,938,835,001
5. Step 5: Solve for x
   x = 12,938,835,001/49,946
6. Step 6: Final answer
   x = 259,056.48