Finding the Third Proportional to 69,768 and 111,384

Step by Step Solution

1. Step 1: Write the proportion equation
   69,768 : 111,384 = 111,384 : x
2. Step 2: Convert to fraction form
   69,768/111,384 = 111,384/x
3. Step 3: Cross multiply
   69,768x = 111,384 × 111,384
4. Step 4: Simplify right side
   69,768x = 12,406,395,456
5. Step 5: Solve for x
   x = 12,406,395,456/69,768
6. Step 6: Final answer
   x = 177,823.58