Finding the Third Proportional to 76,826 and 167,662

Step by Step Solution

1. Step 1: Write the proportion equation
   76,826 : 167,662 = 167,662 : x
2. Step 2: Convert to fraction form
   76,826/167,662 = 167,662/x
3. Step 3: Cross multiply
   76,826x = 167,662 × 167,662
4. Step 4: Simplify right side
   76,826x = 28,110,546,244
5. Step 5: Solve for x
   x = 28,110,546,244/76,826
6. Step 6: Final answer
   x = 365,898.87