Finding the Third Proportional to 164,064 and 234,616

Step by Step Solution

1. Step 1: Write the proportion equation
   164,064 : 234,616 = 234,616 : x
2. Step 2: Convert to fraction form
   164,064/234,616 = 234,616/x
3. Step 3: Cross multiply
   164,064x = 234,616 × 234,616
4. Step 4: Simplify right side
   164,064x = 55,044,667,456
5. Step 5: Solve for x
   x = 55,044,667,456/164,064
6. Step 6: Final answer
   x = 335,507.29