Finding the Third Proportional to 78,075 and 173,618

Step by Step Solution

1. Step 1: Write the proportion equation
   78,075 : 173,618 = 173,618 : x
2. Step 2: Convert to fraction form
   78,075/173,618 = 173,618/x
3. Step 3: Cross multiply
   78,075x = 173,618 × 173,618
4. Step 4: Simplify right side
   78,075x = 30,143,209,924
5. Step 5: Solve for x
   x = 30,143,209,924/78,075
6. Step 6: Final answer
   x = 386,080.18