Finding the Third Proportional to 50,629 and 78,597

Step by Step Solution

1. Step 1: Write the proportion equation
   50,629 : 78,597 = 78,597 : x
2. Step 2: Convert to fraction form
   50,629/78,597 = 78,597/x
3. Step 3: Cross multiply
   50,629x = 78,597 × 78,597
4. Step 4: Simplify right side
   50,629x = 6,177,488,409
5. Step 5: Solve for x
   x = 6,177,488,409/50,629
6. Step 6: Final answer
   x = 122,014.82