Finding the Third Proportional to 49,074.75 and 77,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,074.75 : 77,834.25 = 77,834.25 : x
2. Step 2: Convert to fraction form
   49,074.75/77,834.25 = 77,834.25/x
3. Step 3: Cross multiply
   49,074.75x = 77,834.25 × 77,834.25
4. Step 4: Simplify right side
   49,074.75x = 6,058,170,473.06
5. Step 5: Solve for x
   x = 6,058,170,473.06/49,074.75
6. Step 6: Final answer
   x = 123,447.81