Finding the Third Proportional to 49,838 and 76,216

Step by Step Solution

1. Step 1: Write the proportion equation
   49,838 : 76,216 = 76,216 : x
2. Step 2: Convert to fraction form
   49,838/76,216 = 76,216/x
3. Step 3: Cross multiply
   49,838x = 76,216 × 76,216
4. Step 4: Simplify right side
   49,838x = 5,808,878,656
5. Step 5: Solve for x
   x = 5,808,878,656/49,838
6. Step 6: Final answer
   x = 116,555.21