Finding the Third Proportional to 369,976.50 and 501,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   369,976.50 : 501,322.50 = 501,322.50 : x
2. Step 2: Convert to fraction form
   369,976.50/501,322.50 = 501,322.50/x
3. Step 3: Cross multiply
   369,976.50x = 501,322.50 × 501,322.50
4. Step 4: Simplify right side
   369,976.50x = 251,324,249,006.25
5. Step 5: Solve for x
   x = 251,324,249,006.25/369,976.50
6. Step 6: Final answer
   x = 679,297.87