Finding the Third Proportional to 82,772 and 178,662

Step by Step Solution

1. Step 1: Write the proportion equation
   82,772 : 178,662 = 178,662 : x
2. Step 2: Convert to fraction form
   82,772/178,662 = 178,662/x
3. Step 3: Cross multiply
   82,772x = 178,662 × 178,662
4. Step 4: Simplify right side
   82,772x = 31,920,110,244
5. Step 5: Solve for x
   x = 31,920,110,244/82,772
6. Step 6: Final answer
   x = 385,638.99