Finding the Third Proportional to 80,528 and 109,356

Step by Step Solution

1. Step 1: Write the proportion equation
   80,528 : 109,356 = 109,356 : x
2. Step 2: Convert to fraction form
   80,528/109,356 = 109,356/x
3. Step 3: Cross multiply
   80,528x = 109,356 × 109,356
4. Step 4: Simplify right side
   80,528x = 11,958,734,736
5. Step 5: Solve for x
   x = 11,958,734,736/80,528
6. Step 6: Final answer
   x = 148,504.06