Finding the Third Proportional to 30,184 and 50,298

Step by Step Solution

1. Step 1: Write the proportion equation
   30,184 : 50,298 = 50,298 : x
2. Step 2: Convert to fraction form
   30,184/50,298 = 50,298/x
3. Step 3: Cross multiply
   30,184x = 50,298 × 50,298
4. Step 4: Simplify right side
   30,184x = 2,529,888,804
5. Step 5: Solve for x
   x = 2,529,888,804/30,184
6. Step 6: Final answer
   x = 83,815.56