Finding the Third Proportional to 300,391.50 and 464,967

Step by Step Solution

1. Step 1: Write the proportion equation
   300,391.50 : 464,967 = 464,967 : x
2. Step 2: Convert to fraction form
   300,391.50/464,967 = 464,967/x
3. Step 3: Cross multiply
   300,391.50x = 464,967 × 464,967
4. Step 4: Simplify right side
   300,391.50x = 216,194,311,089
5. Step 5: Solve for x
   x = 216,194,311,089/300,391.50
6. Step 6: Final answer
   x = 719,708.48