Finding the Third Proportional to 300,425 and 463,884

Step by Step Solution

1. Step 1: Write the proportion equation
   300,425 : 463,884 = 463,884 : x
2. Step 2: Convert to fraction form
   300,425/463,884 = 463,884/x
3. Step 3: Cross multiply
   300,425x = 463,884 × 463,884
4. Step 4: Simplify right side
   300,425x = 215,188,365,456
5. Step 5: Solve for x
   x = 215,188,365,456/300,425
6. Step 6: Final answer
   x = 716,279.82