Finding the Third Proportional to 300,496.50 and 467,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,496.50 : 467,977.50 = 467,977.50 : x
2. Step 2: Convert to fraction form
   300,496.50/467,977.50 = 467,977.50/x
3. Step 3: Cross multiply
   300,496.50x = 467,977.50 × 467,977.50
4. Step 4: Simplify right side
   300,496.50x = 219,002,940,506.25
5. Step 5: Solve for x
   x = 219,002,940,506.25/300,496.50
6. Step 6: Final answer
   x = 728,803.63