Finding the Third Proportional to 83,162 and 177,988

Step by Step Solution

1. Step 1: Write the proportion equation
   83,162 : 177,988 = 177,988 : x
2. Step 2: Convert to fraction form
   83,162/177,988 = 177,988/x
3. Step 3: Cross multiply
   83,162x = 177,988 × 177,988
4. Step 4: Simplify right side
   83,162x = 31,679,728,144
5. Step 5: Solve for x
   x = 31,679,728,144/83,162
6. Step 6: Final answer
   x = 380,939.95