Finding the Third Proportional to 300,086 and 464,506

Step by Step Solution

1. Step 1: Write the proportion equation
   300,086 : 464,506 = 464,506 : x
2. Step 2: Convert to fraction form
   300,086/464,506 = 464,506/x
3. Step 3: Cross multiply
   300,086x = 464,506 × 464,506
4. Step 4: Simplify right side
   300,086x = 215,765,824,036
5. Step 5: Solve for x
   x = 215,765,824,036/300,086
6. Step 6: Final answer
   x = 719,013.30