Finding the Third Proportional to 300,688 and 660,896

Step by Step Solution

1. Step 1: Write the proportion equation
   300,688 : 660,896 = 660,896 : x
2. Step 2: Convert to fraction form
   300,688/660,896 = 660,896/x
3. Step 3: Cross multiply
   300,688x = 660,896 × 660,896
4. Step 4: Simplify right side
   300,688x = 436,783,522,816
5. Step 5: Solve for x
   x = 436,783,522,816/300,688
6. Step 6: Final answer
   x = 1,452,613.75