Finding the Third Proportional to 164,112 and 234,665

Step by Step Solution

1. Step 1: Write the proportion equation
   164,112 : 234,665 = 234,665 : x
2. Step 2: Convert to fraction form
   164,112/234,665 = 234,665/x
3. Step 3: Cross multiply
   164,112x = 234,665 × 234,665
4. Step 4: Simplify right side
   164,112x = 55,067,662,225
5. Step 5: Solve for x
   x = 55,067,662,225/164,112
6. Step 6: Final answer
   x = 335,549.27