Finding the Third Proportional to 147,940 and 323,144

Step by Step Solution

1. Step 1: Write the proportion equation
   147,940 : 323,144 = 323,144 : x
2. Step 2: Convert to fraction form
   147,940/323,144 = 323,144/x
3. Step 3: Cross multiply
   147,940x = 323,144 × 323,144
4. Step 4: Simplify right side
   147,940x = 104,422,044,736
5. Step 5: Solve for x
   x = 104,422,044,736/147,940
6. Step 6: Final answer
   x = 705,840.51