Finding the Third Proportional to 69,075 and 142,578

Step by Step Solution

1. Step 1: Write the proportion equation
   69,075 : 142,578 = 142,578 : x
2. Step 2: Convert to fraction form
   69,075/142,578 = 142,578/x
3. Step 3: Cross multiply
   69,075x = 142,578 × 142,578
4. Step 4: Simplify right side
   69,075x = 20,328,486,084
5. Step 5: Solve for x
   x = 20,328,486,084/69,075
6. Step 6: Final answer
   x = 294,295.85