Finding the Third Proportional to 146,820 and 320,280

Step by Step Solution

1. Step 1: Write the proportion equation
   146,820 : 320,280 = 320,280 : x
2. Step 2: Convert to fraction form
   146,820/320,280 = 320,280/x
3. Step 3: Cross multiply
   146,820x = 320,280 × 320,280
4. Step 4: Simplify right side
   146,820x = 102,579,278,400
5. Step 5: Solve for x
   x = 102,579,278,400/146,820
6. Step 6: Final answer
   x = 698,673.74