Finding the Third Proportional to 82,053 and 179,289

Step by Step Solution

1. Step 1: Write the proportion equation
   82,053 : 179,289 = 179,289 : x
2. Step 2: Convert to fraction form
   82,053/179,289 = 179,289/x
3. Step 3: Cross multiply
   82,053x = 179,289 × 179,289
4. Step 4: Simplify right side
   82,053x = 32,144,545,521
5. Step 5: Solve for x
   x = 32,144,545,521/82,053
6. Step 6: Final answer
   x = 391,753.45