Finding the Third Proportional to 78,592 and 160,815

Step by Step Solution

1. Step 1: Write the proportion equation
   78,592 : 160,815 = 160,815 : x
2. Step 2: Convert to fraction form
   78,592/160,815 = 160,815/x
3. Step 3: Cross multiply
   78,592x = 160,815 × 160,815
4. Step 4: Simplify right side
   78,592x = 25,861,464,225
5. Step 5: Solve for x
   x = 25,861,464,225/78,592
6. Step 6: Final answer
   x = 329,059.75