Finding the Third Proportional to 148,667 and 320,662

Step by Step Solution

1. Step 1: Write the proportion equation
   148,667 : 320,662 = 320,662 : x
2. Step 2: Convert to fraction form
   148,667/320,662 = 320,662/x
3. Step 3: Cross multiply
   148,667x = 320,662 × 320,662
4. Step 4: Simplify right side
   148,667x = 102,824,118,244
5. Step 5: Solve for x
   x = 102,824,118,244/148,667
6. Step 6: Final answer
   x = 691,640.50