Finding the Third Proportional to 164,100 and 234,666

Step by Step Solution

1. Step 1: Write the proportion equation
   164,100 : 234,666 = 234,666 : x
2. Step 2: Convert to fraction form
   164,100/234,666 = 234,666/x
3. Step 3: Cross multiply
   164,100x = 234,666 × 234,666
4. Step 4: Simplify right side
   164,100x = 55,068,131,556
5. Step 5: Solve for x
   x = 55,068,131,556/164,100
6. Step 6: Final answer
   x = 335,576.67