Finding the Third Proportional to 80,542 and 174,926

Step by Step Solution

1. Step 1: Write the proportion equation
   80,542 : 174,926 = 174,926 : x
2. Step 2: Convert to fraction form
   80,542/174,926 = 174,926/x
3. Step 3: Cross multiply
   80,542x = 174,926 × 174,926
4. Step 4: Simplify right side
   80,542x = 30,599,105,476
5. Step 5: Solve for x
   x = 30,599,105,476/80,542
6. Step 6: Final answer
   x = 379,914.90