Finding the Third Proportional to 50,422 and 76,840

Step by Step Solution

1. Step 1: Write the proportion equation
   50,422 : 76,840 = 76,840 : x
2. Step 2: Convert to fraction form
   50,422/76,840 = 76,840/x
3. Step 3: Cross multiply
   50,422x = 76,840 × 76,840
4. Step 4: Simplify right side
   50,422x = 5,904,385,600
5. Step 5: Solve for x
   x = 5,904,385,600/50,422
6. Step 6: Final answer
   x = 117,099.39