Finding the Third Proportional to 177,664.50 and 234,744

Step by Step Solution

1. Step 1: Write the proportion equation
   177,664.50 : 234,744 = 234,744 : x
2. Step 2: Convert to fraction form
   177,664.50/234,744 = 234,744/x
3. Step 3: Cross multiply
   177,664.50x = 234,744 × 234,744
4. Step 4: Simplify right side
   177,664.50x = 55,104,745,536
5. Step 5: Solve for x
   x = 55,104,745,536/177,664.50
6. Step 6: Final answer
   x = 310,161.82