Finding the Third Proportional to 146,704 and 219,510

Step by Step Solution

1. Step 1: Write the proportion equation
   146,704 : 219,510 = 219,510 : x
2. Step 2: Convert to fraction form
   146,704/219,510 = 219,510/x
3. Step 3: Cross multiply
   146,704x = 219,510 × 219,510
4. Step 4: Simplify right side
   146,704x = 48,184,640,100
5. Step 5: Solve for x
   x = 48,184,640,100/146,704
6. Step 6: Final answer
   x = 328,448.03