Finding the Third Proportional to 298,970 and 447,632

Step by Step Solution

1. Step 1: Write the proportion equation
   298,970 : 447,632 = 447,632 : x
2. Step 2: Convert to fraction form
   298,970/447,632 = 447,632/x
3. Step 3: Cross multiply
   298,970x = 447,632 × 447,632
4. Step 4: Simplify right side
   298,970x = 200,374,407,424
5. Step 5: Solve for x
   x = 200,374,407,424/298,970
6. Step 6: Final answer
   x = 670,215.77