Finding the Third Proportional to 327,748 and 501,144

Step by Step Solution

1. Step 1: Write the proportion equation
   327,748 : 501,144 = 501,144 : x
2. Step 2: Convert to fraction form
   327,748/501,144 = 501,144/x
3. Step 3: Cross multiply
   327,748x = 501,144 × 501,144
4. Step 4: Simplify right side
   327,748x = 251,145,308,736
5. Step 5: Solve for x
   x = 251,145,308,736/327,748
6. Step 6: Final answer
   x = 766,275.64