Finding the Third Proportional to 82,233 and 179,316

Step by Step Solution

1. Step 1: Write the proportion equation
   82,233 : 179,316 = 179,316 : x
2. Step 2: Convert to fraction form
   82,233/179,316 = 179,316/x
3. Step 3: Cross multiply
   82,233x = 179,316 × 179,316
4. Step 4: Simplify right side
   82,233x = 32,154,227,856
5. Step 5: Solve for x
   x = 32,154,227,856/82,233
6. Step 6: Final answer
   x = 391,013.68