Finding the Third Proportional to 83,023 and 179,167

Step by Step Solution

1. Step 1: Write the proportion equation
   83,023 : 179,167 = 179,167 : x
2. Step 2: Convert to fraction form
   83,023/179,167 = 179,167/x
3. Step 3: Cross multiply
   83,023x = 179,167 × 179,167
4. Step 4: Simplify right side
   83,023x = 32,100,813,889
5. Step 5: Solve for x
   x = 32,100,813,889/83,023
6. Step 6: Final answer
   x = 386,649.65