Finding the Third Proportional to 80,214 and 174,584

Step by Step Solution

1. Step 1: Write the proportion equation
   80,214 : 174,584 = 174,584 : x
2. Step 2: Convert to fraction form
   80,214/174,584 = 174,584/x
3. Step 3: Cross multiply
   80,214x = 174,584 × 174,584
4. Step 4: Simplify right side
   80,214x = 30,479,573,056
5. Step 5: Solve for x
   x = 30,479,573,056/80,214
6. Step 6: Final answer
   x = 379,978.22