Finding the Third Proportional to 319,075 and 493,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,075 : 493,997.50 = 493,997.50 : x
2. Step 2: Convert to fraction form
   319,075/493,997.50 = 493,997.50/x
3. Step 3: Cross multiply
   319,075x = 493,997.50 × 493,997.50
4. Step 4: Simplify right side
   319,075x = 244,033,530,006.25
5. Step 5: Solve for x
   x = 244,033,530,006.25/319,075
6. Step 6: Final answer
   x = 764,815.58