Finding the Third Proportional to 300,072 and 464,322

Step by Step Solution

1. Step 1: Write the proportion equation
   300,072 : 464,322 = 464,322 : x
2. Step 2: Convert to fraction form
   300,072/464,322 = 464,322/x
3. Step 3: Cross multiply
   300,072x = 464,322 × 464,322
4. Step 4: Simplify right side
   300,072x = 215,594,919,684
5. Step 5: Solve for x
   x = 215,594,919,684/300,072
6. Step 6: Final answer
   x = 718,477.30