Finding the Third Proportional to 86,075 and 186,443

Step by Step Solution

1. Step 1: Write the proportion equation
   86,075 : 186,443 = 186,443 : x
2. Step 2: Convert to fraction form
   86,075/186,443 = 186,443/x
3. Step 3: Cross multiply
   86,075x = 186,443 × 186,443
4. Step 4: Simplify right side
   86,075x = 34,760,992,249
5. Step 5: Solve for x
   x = 34,760,992,249/86,075
6. Step 6: Final answer
   x = 403,845.39