Finding the Third Proportional to 50,534 and 84,216

Step by Step Solution

1. Step 1: Write the proportion equation
   50,534 : 84,216 = 84,216 : x
2. Step 2: Convert to fraction form
   50,534/84,216 = 84,216/x
3. Step 3: Cross multiply
   50,534x = 84,216 × 84,216
4. Step 4: Simplify right side
   50,534x = 7,092,334,656
5. Step 5: Solve for x
   x = 7,092,334,656/50,534
6. Step 6: Final answer
   x = 140,347.78