Finding the Third Proportional to 82,380 and 179,862

Step by Step Solution

1. Step 1: Write the proportion equation
   82,380 : 179,862 = 179,862 : x
2. Step 2: Convert to fraction form
   82,380/179,862 = 179,862/x
3. Step 3: Cross multiply
   82,380x = 179,862 × 179,862
4. Step 4: Simplify right side
   82,380x = 32,350,339,044
5. Step 5: Solve for x
   x = 32,350,339,044/82,380
6. Step 6: Final answer
   x = 392,696.52