Finding the Third Proportional to 80,229 and 174,066

Step by Step Solution

1. Step 1: Write the proportion equation
   80,229 : 174,066 = 174,066 : x
2. Step 2: Convert to fraction form
   80,229/174,066 = 174,066/x
3. Step 3: Cross multiply
   80,229x = 174,066 × 174,066
4. Step 4: Simplify right side
   80,229x = 30,298,972,356
5. Step 5: Solve for x
   x = 30,298,972,356/80,229
6. Step 6: Final answer
   x = 377,656.11