Finding the Third Proportional to 300,527.50 and 468,024

Step by Step Solution

1. Step 1: Write the proportion equation
   300,527.50 : 468,024 = 468,024 : x
2. Step 2: Convert to fraction form
   300,527.50/468,024 = 468,024/x
3. Step 3: Cross multiply
   300,527.50x = 468,024 × 468,024
4. Step 4: Simplify right side
   300,527.50x = 219,046,464,576
5. Step 5: Solve for x
   x = 219,046,464,576/300,527.50
6. Step 6: Final answer
   x = 728,873.28