Finding the Third Proportional to 80,258 and 173,214

Step by Step Solution

1. Step 1: Write the proportion equation
   80,258 : 173,214 = 173,214 : x
2. Step 2: Convert to fraction form
   80,258/173,214 = 173,214/x
3. Step 3: Cross multiply
   80,258x = 173,214 × 173,214
4. Step 4: Simplify right side
   80,258x = 30,003,089,796
5. Step 5: Solve for x
   x = 30,003,089,796/80,258
6. Step 6: Final answer
   x = 373,833.01