Finding the Third Proportional to 83,361 and 179,889

Step by Step Solution

1. Step 1: Write the proportion equation
   83,361 : 179,889 = 179,889 : x
2. Step 2: Convert to fraction form
   83,361/179,889 = 179,889/x
3. Step 3: Cross multiply
   83,361x = 179,889 × 179,889
4. Step 4: Simplify right side
   83,361x = 32,360,052,321
5. Step 5: Solve for x
   x = 32,360,052,321/83,361
6. Step 6: Final answer
   x = 388,191.75