Finding the Third Proportional to 50,139.50 and 77,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,139.50 : 77,729.50 = 77,729.50 : x
2. Step 2: Convert to fraction form
   50,139.50/77,729.50 = 77,729.50/x
3. Step 3: Cross multiply
   50,139.50x = 77,729.50 × 77,729.50
4. Step 4: Simplify right side
   50,139.50x = 6,041,875,170.25
5. Step 5: Solve for x
   x = 6,041,875,170.25/50,139.50
6. Step 6: Final answer
   x = 120,501.30