Finding the Third Proportional to 86,105 and 182,453

Step by Step Solution

1. Step 1: Write the proportion equation
   86,105 : 182,453 = 182,453 : x
2. Step 2: Convert to fraction form
   86,105/182,453 = 182,453/x
3. Step 3: Cross multiply
   86,105x = 182,453 × 182,453
4. Step 4: Simplify right side
   86,105x = 33,289,097,209
5. Step 5: Solve for x
   x = 33,289,097,209/86,105
6. Step 6: Final answer
   x = 386,610.50