Finding the Third Proportional to 80,802 and 108,077

Step by Step Solution

1. Step 1: Write the proportion equation
   80,802 : 108,077 = 108,077 : x
2. Step 2: Convert to fraction form
   80,802/108,077 = 108,077/x
3. Step 3: Cross multiply
   80,802x = 108,077 × 108,077
4. Step 4: Simplify right side
   80,802x = 11,680,637,929
5. Step 5: Solve for x
   x = 11,680,637,929/80,802
6. Step 6: Final answer
   x = 144,558.77