Finding the Third Proportional to 78,592 and 171,844

Step by Step Solution

1. Step 1: Write the proportion equation
   78,592 : 171,844 = 171,844 : x
2. Step 2: Convert to fraction form
   78,592/171,844 = 171,844/x
3. Step 3: Cross multiply
   78,592x = 171,844 × 171,844
4. Step 4: Simplify right side
   78,592x = 29,530,360,336
5. Step 5: Solve for x
   x = 29,530,360,336/78,592
6. Step 6: Final answer
   x = 375,742.57