Finding the Third Proportional to 83,182 and 178,818

Step by Step Solution

1. Step 1: Write the proportion equation
   83,182 : 178,818 = 178,818 : x
2. Step 2: Convert to fraction form
   83,182/178,818 = 178,818/x
3. Step 3: Cross multiply
   83,182x = 178,818 × 178,818
4. Step 4: Simplify right side
   83,182x = 31,975,877,124
5. Step 5: Solve for x
   x = 31,975,877,124/83,182
6. Step 6: Final answer
   x = 384,408.61