Finding the Third Proportional to 111,768 and 168,543

Step by Step Solution

1. Step 1: Write the proportion equation
   111,768 : 168,543 = 168,543 : x
2. Step 2: Convert to fraction form
   111,768/168,543 = 168,543/x
3. Step 3: Cross multiply
   111,768x = 168,543 × 168,543
4. Step 4: Simplify right side
   111,768x = 28,406,742,849
5. Step 5: Solve for x
   x = 28,406,742,849/111,768
6. Step 6: Final answer
   x = 254,158.10