Finding the Third Proportional to 49,598 and 76,822

Step by Step Solution

1. Step 1: Write the proportion equation
   49,598 : 76,822 = 76,822 : x
2. Step 2: Convert to fraction form
   49,598/76,822 = 76,822/x
3. Step 3: Cross multiply
   49,598x = 76,822 × 76,822
4. Step 4: Simplify right side
   49,598x = 5,901,619,684
5. Step 5: Solve for x
   x = 5,901,619,684/49,598
6. Step 6: Final answer
   x = 118,989.07