Finding the Third Proportional to 300,055 and 464,460

Step by Step Solution

1. Step 1: Write the proportion equation
   300,055 : 464,460 = 464,460 : x
2. Step 2: Convert to fraction form
   300,055/464,460 = 464,460/x
3. Step 3: Cross multiply
   300,055x = 464,460 × 464,460
4. Step 4: Simplify right side
   300,055x = 215,723,091,600
5. Step 5: Solve for x
   x = 215,723,091,600/300,055
6. Step 6: Final answer
   x = 718,945.17