Finding the Third Proportional to 49,097 and 76,805

Step by Step Solution

1. Step 1: Write the proportion equation
   49,097 : 76,805 = 76,805 : x
2. Step 2: Convert to fraction form
   49,097/76,805 = 76,805/x
3. Step 3: Cross multiply
   49,097x = 76,805 × 76,805
4. Step 4: Simplify right side
   49,097x = 5,899,008,025
5. Step 5: Solve for x
   x = 5,899,008,025/49,097
6. Step 6: Final answer
   x = 120,150.07