Finding the Third Proportional to 327,752 and 501,150

Step by Step Solution

1. Step 1: Write the proportion equation
   327,752 : 501,150 = 501,150 : x
2. Step 2: Convert to fraction form
   327,752/501,150 = 501,150/x
3. Step 3: Cross multiply
   327,752x = 501,150 × 501,150
4. Step 4: Simplify right side
   327,752x = 251,151,322,500
5. Step 5: Solve for x
   x = 251,151,322,500/327,752
6. Step 6: Final answer
   x = 766,284.64