Finding the Third Proportional to 83,586 and 179,592

Step by Step Solution

1. Step 1: Write the proportion equation
   83,586 : 179,592 = 179,592 : x
2. Step 2: Convert to fraction form
   83,586/179,592 = 179,592/x
3. Step 3: Cross multiply
   83,586x = 179,592 × 179,592
4. Step 4: Simplify right side
   83,586x = 32,253,286,464
5. Step 5: Solve for x
   x = 32,253,286,464/83,586
6. Step 6: Final answer
   x = 385,869.48