Finding the Third Proportional to 164,064 and 234,610

Step by Step Solution

1. Step 1: Write the proportion equation
   164,064 : 234,610 = 234,610 : x
2. Step 2: Convert to fraction form
   164,064/234,610 = 234,610/x
3. Step 3: Cross multiply
   164,064x = 234,610 × 234,610
4. Step 4: Simplify right side
   164,064x = 55,041,852,100
5. Step 5: Solve for x
   x = 55,041,852,100/164,064
6. Step 6: Final answer
   x = 335,490.13