Finding the Third Proportional to 49,286 and 76,458

Step by Step Solution

1. Step 1: Write the proportion equation
   49,286 : 76,458 = 76,458 : x
2. Step 2: Convert to fraction form
   49,286/76,458 = 76,458/x
3. Step 3: Cross multiply
   49,286x = 76,458 × 76,458
4. Step 4: Simplify right side
   49,286x = 5,845,825,764
5. Step 5: Solve for x
   x = 5,845,825,764/49,286
6. Step 6: Final answer
   x = 118,610.27