Finding the Third Proportional to 49,381 and 116,498

Step by Step Solution

1. Step 1: Write the proportion equation
   49,381 : 116,498 = 116,498 : x
2. Step 2: Convert to fraction form
   49,381/116,498 = 116,498/x
3. Step 3: Cross multiply
   49,381x = 116,498 × 116,498
4. Step 4: Simplify right side
   49,381x = 13,571,784,004
5. Step 5: Solve for x
   x = 13,571,784,004/49,381
6. Step 6: Final answer
   x = 274,838.18