Finding the Third Proportional to 80,420 and 175,844

Step by Step Solution

1. Step 1: Write the proportion equation
   80,420 : 175,844 = 175,844 : x
2. Step 2: Convert to fraction form
   80,420/175,844 = 175,844/x
3. Step 3: Cross multiply
   80,420x = 175,844 × 175,844
4. Step 4: Simplify right side
   80,420x = 30,921,112,336
5. Step 5: Solve for x
   x = 30,921,112,336/80,420
6. Step 6: Final answer
   x = 384,495.30