Finding the Third Proportional to 83,786 and 179,564

Step by Step Solution

1. Step 1: Write the proportion equation
   83,786 : 179,564 = 179,564 : x
2. Step 2: Convert to fraction form
   83,786/179,564 = 179,564/x
3. Step 3: Cross multiply
   83,786x = 179,564 × 179,564
4. Step 4: Simplify right side
   83,786x = 32,243,230,096
5. Step 5: Solve for x
   x = 32,243,230,096/83,786
6. Step 6: Final answer
   x = 384,828.37