Finding the Third Proportional to 80,196 and 174,052

Step by Step Solution

1. Step 1: Write the proportion equation
   80,196 : 174,052 = 174,052 : x
2. Step 2: Convert to fraction form
   80,196/174,052 = 174,052/x
3. Step 3: Cross multiply
   80,196x = 174,052 × 174,052
4. Step 4: Simplify right side
   80,196x = 30,294,098,704
5. Step 5: Solve for x
   x = 30,294,098,704/80,196
6. Step 6: Final answer
   x = 377,750.74