Finding the Third Proportional to 50,536 and 79,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,536 : 79,039.50 = 79,039.50 : x
2. Step 2: Convert to fraction form
   50,536/79,039.50 = 79,039.50/x
3. Step 3: Cross multiply
   50,536x = 79,039.50 × 79,039.50
4. Step 4: Simplify right side
   50,536x = 6,247,242,560.25
5. Step 5: Solve for x
   x = 6,247,242,560.25/50,536
6. Step 6: Final answer
   x = 123,619.65