Finding the Third Proportional to 50,538 and 79,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,538 : 79,042.50 = 79,042.50 : x
2. Step 2: Convert to fraction form
   50,538/79,042.50 = 79,042.50/x
3. Step 3: Cross multiply
   50,538x = 79,042.50 × 79,042.50
4. Step 4: Simplify right side
   50,538x = 6,247,716,806.25
5. Step 5: Solve for x
   x = 6,247,716,806.25/50,538
6. Step 6: Final answer
   x = 123,624.14