Finding the Third Proportional to 82,051 and 179,288

Step by Step Solution

1. Step 1: Write the proportion equation
   82,051 : 179,288 = 179,288 : x
2. Step 2: Convert to fraction form
   82,051/179,288 = 179,288/x
3. Step 3: Cross multiply
   82,051x = 179,288 × 179,288
4. Step 4: Simplify right side
   82,051x = 32,144,186,944
5. Step 5: Solve for x
   x = 32,144,186,944/82,051
6. Step 6: Final answer
   x = 391,758.63