Finding the Third Proportional to 166,184 and 233,184

Step by Step Solution

1. Step 1: Write the proportion equation
   166,184 : 233,184 = 233,184 : x
2. Step 2: Convert to fraction form
   166,184/233,184 = 233,184/x
3. Step 3: Cross multiply
   166,184x = 233,184 × 233,184
4. Step 4: Simplify right side
   166,184x = 54,374,777,856
5. Step 5: Solve for x
   x = 54,374,777,856/166,184
6. Step 6: Final answer
   x = 327,196.23