Finding the Third Proportional to 81,768 and 109,884

Step by Step Solution

1. Step 1: Write the proportion equation
   81,768 : 109,884 = 109,884 : x
2. Step 2: Convert to fraction form
   81,768/109,884 = 109,884/x
3. Step 3: Cross multiply
   81,768x = 109,884 × 109,884
4. Step 4: Simplify right side
   81,768x = 12,074,493,456
5. Step 5: Solve for x
   x = 12,074,493,456/81,768
6. Step 6: Final answer
   x = 147,667.71