Finding the Third Proportional to 30,218 and 65,458

Step by Step Solution

1. Step 1: Write the proportion equation
   30,218 : 65,458 = 65,458 : x
2. Step 2: Convert to fraction form
   30,218/65,458 = 65,458/x
3. Step 3: Cross multiply
   30,218x = 65,458 × 65,458
4. Step 4: Simplify right side
   30,218x = 4,284,749,764
5. Step 5: Solve for x
   x = 4,284,749,764/30,218
6. Step 6: Final answer
   x = 141,794.62