Finding the Third Proportional to 80,308 and 117,582

Step by Step Solution

1. Step 1: Write the proportion equation
   80,308 : 117,582 = 117,582 : x
2. Step 2: Convert to fraction form
   80,308/117,582 = 117,582/x
3. Step 3: Cross multiply
   80,308x = 117,582 × 117,582
4. Step 4: Simplify right side
   80,308x = 13,825,526,724
5. Step 5: Solve for x
   x = 13,825,526,724/80,308
6. Step 6: Final answer
   x = 172,156.28