Finding the Third Proportional to 49,738.50 and 78,759

Step by Step Solution

1. Step 1: Write the proportion equation
   49,738.50 : 78,759 = 78,759 : x
2. Step 2: Convert to fraction form
   49,738.50/78,759 = 78,759/x
3. Step 3: Cross multiply
   49,738.50x = 78,759 × 78,759
4. Step 4: Simplify right side
   49,738.50x = 6,202,980,081
5. Step 5: Solve for x
   x = 6,202,980,081/49,738.50
6. Step 6: Final answer
   x = 124,711.84