Finding the Third Proportional to 80,843 and 174,592

Step by Step Solution

1. Step 1: Write the proportion equation
   80,843 : 174,592 = 174,592 : x
2. Step 2: Convert to fraction form
   80,843/174,592 = 174,592/x
3. Step 3: Cross multiply
   80,843x = 174,592 × 174,592
4. Step 4: Simplify right side
   80,843x = 30,482,366,464
5. Step 5: Solve for x
   x = 30,482,366,464/80,843
6. Step 6: Final answer
   x = 377,056.35