Finding the Third Proportional to 82,010 and 179,338

Step by Step Solution

1. Step 1: Write the proportion equation
   82,010 : 179,338 = 179,338 : x
2. Step 2: Convert to fraction form
   82,010/179,338 = 179,338/x
3. Step 3: Cross multiply
   82,010x = 179,338 × 179,338
4. Step 4: Simplify right side
   82,010x = 32,162,118,244
5. Step 5: Solve for x
   x = 32,162,118,244/82,010
6. Step 6: Final answer
   x = 392,173.13