Finding the Third Proportional to 146,799 and 323,946

Step by Step Solution

1. Step 1: Write the proportion equation
   146,799 : 323,946 = 323,946 : x
2. Step 2: Convert to fraction form
   146,799/323,946 = 323,946/x
3. Step 3: Cross multiply
   146,799x = 323,946 × 323,946
4. Step 4: Simplify right side
   146,799x = 104,941,010,916
5. Step 5: Solve for x
   x = 104,941,010,916/146,799
6. Step 6: Final answer
   x = 714,861.89