Finding the Third Proportional to 86,588 and 186,552

Step by Step Solution

1. Step 1: Write the proportion equation
   86,588 : 186,552 = 186,552 : x
2. Step 2: Convert to fraction form
   86,588/186,552 = 186,552/x
3. Step 3: Cross multiply
   86,588x = 186,552 × 186,552
4. Step 4: Simplify right side
   86,588x = 34,801,648,704
5. Step 5: Solve for x
   x = 34,801,648,704/86,588
6. Step 6: Final answer
   x = 401,922.31