Finding the Third Proportional to 146,064 and 208,728

Step by Step Solution

1. Step 1: Write the proportion equation
   146,064 : 208,728 = 208,728 : x
2. Step 2: Convert to fraction form
   146,064/208,728 = 208,728/x
3. Step 3: Cross multiply
   146,064x = 208,728 × 208,728
4. Step 4: Simplify right side
   146,064x = 43,567,377,984
5. Step 5: Solve for x
   x = 43,567,377,984/146,064
6. Step 6: Final answer
   x = 298,275.95