Finding the Third Proportional to 300,612 and 464,148

Step by Step Solution

1. Step 1: Write the proportion equation
   300,612 : 464,148 = 464,148 : x
2. Step 2: Convert to fraction form
   300,612/464,148 = 464,148/x
3. Step 3: Cross multiply
   300,612x = 464,148 × 464,148
4. Step 4: Simplify right side
   300,612x = 215,433,365,904
5. Step 5: Solve for x
   x = 215,433,365,904/300,612
6. Step 6: Final answer
   x = 716,649.26