Finding the Third Proportional to 319,063.50 and 493,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,063.50 : 493,980.50 = 493,980.50 : x
2. Step 2: Convert to fraction form
   319,063.50/493,980.50 = 493,980.50/x
3. Step 3: Cross multiply
   319,063.50x = 493,980.50 × 493,980.50
4. Step 4: Simplify right side
   319,063.50x = 244,016,734,380.25
5. Step 5: Solve for x
   x = 244,016,734,380.25/319,063.50
6. Step 6: Final answer
   x = 764,790.50