Finding the Third Proportional to 50,530 and 78,459

Step by Step Solution

1. Step 1: Write the proportion equation
   50,530 : 78,459 = 78,459 : x
2. Step 2: Convert to fraction form
   50,530/78,459 = 78,459/x
3. Step 3: Cross multiply
   50,530x = 78,459 × 78,459
4. Step 4: Simplify right side
   50,530x = 6,155,814,681
5. Step 5: Solve for x
   x = 6,155,814,681/50,530
6. Step 6: Final answer
   x = 121,824.95