Finding the Third Proportional to 300,024 and 438,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,024 : 438,184.50 = 438,184.50 : x
2. Step 2: Convert to fraction form
   300,024/438,184.50 = 438,184.50/x
3. Step 3: Cross multiply
   300,024x = 438,184.50 × 438,184.50
4. Step 4: Simplify right side
   300,024x = 192,005,656,040.25
5. Step 5: Solve for x
   x = 192,005,656,040.25/300,024
6. Step 6: Final answer
   x = 639,967.66