Finding the Third Proportional to 300,007.50 and 438,165

Step by Step Solution

1. Step 1: Write the proportion equation
   300,007.50 : 438,165 = 438,165 : x
2. Step 2: Convert to fraction form
   300,007.50/438,165 = 438,165/x
3. Step 3: Cross multiply
   300,007.50x = 438,165 × 438,165
4. Step 4: Simplify right side
   300,007.50x = 191,988,567,225
5. Step 5: Solve for x
   x = 191,988,567,225/300,007.50
6. Step 6: Final answer
   x = 639,945.89