Finding the Third Proportional to 69,348 and 111,642

Step by Step Solution

1. Step 1: Write the proportion equation
   69,348 : 111,642 = 111,642 : x
2. Step 2: Convert to fraction form
   69,348/111,642 = 111,642/x
3. Step 3: Cross multiply
   69,348x = 111,642 × 111,642
4. Step 4: Simplify right side
   69,348x = 12,463,936,164
5. Step 5: Solve for x
   x = 12,463,936,164/69,348
6. Step 6: Final answer
   x = 179,730.29