Finding the Third Proportional to 82,774 and 178,666

Step by Step Solution

1. Step 1: Write the proportion equation
   82,774 : 178,666 = 178,666 : x
2. Step 2: Convert to fraction form
   82,774/178,666 = 178,666/x
3. Step 3: Cross multiply
   82,774x = 178,666 × 178,666
4. Step 4: Simplify right side
   82,774x = 31,921,539,556
5. Step 5: Solve for x
   x = 31,921,539,556/82,774
6. Step 6: Final answer
   x = 385,646.94