Finding the Third Proportional to 49,099 and 76,808

Step by Step Solution

1. Step 1: Write the proportion equation
   49,099 : 76,808 = 76,808 : x
2. Step 2: Convert to fraction form
   49,099/76,808 = 76,808/x
3. Step 3: Cross multiply
   49,099x = 76,808 × 76,808
4. Step 4: Simplify right side
   49,099x = 5,899,468,864
5. Step 5: Solve for x
   x = 5,899,468,864/49,099
6. Step 6: Final answer
   x = 120,154.56