Finding the Third Proportional to 49,498 and 76,685

Step by Step Solution

1. Step 1: Write the proportion equation
   49,498 : 76,685 = 76,685 : x
2. Step 2: Convert to fraction form
   49,498/76,685 = 76,685/x
3. Step 3: Cross multiply
   49,498x = 76,685 × 76,685
4. Step 4: Simplify right side
   49,498x = 5,880,589,225
5. Step 5: Solve for x
   x = 5,880,589,225/49,498
6. Step 6: Final answer
   x = 118,804.58