Finding the Third Proportional to 69,378 and 105,360

Step by Step Solution

1. Step 1: Write the proportion equation
   69,378 : 105,360 = 105,360 : x
2. Step 2: Convert to fraction form
   69,378/105,360 = 105,360/x
3. Step 3: Cross multiply
   69,378x = 105,360 × 105,360
4. Step 4: Simplify right side
   69,378x = 11,100,729,600
5. Step 5: Solve for x
   x = 11,100,729,600/69,378
6. Step 6: Final answer
   x = 160,003.60