Finding the Third Proportional to 49,842 and 76,222

Step by Step Solution

1. Step 1: Write the proportion equation
   49,842 : 76,222 = 76,222 : x
2. Step 2: Convert to fraction form
   49,842/76,222 = 76,222/x
3. Step 3: Cross multiply
   49,842x = 76,222 × 76,222
4. Step 4: Simplify right side
   49,842x = 5,809,793,284
5. Step 5: Solve for x
   x = 5,809,793,284/49,842
6. Step 6: Final answer
   x = 116,564.21