Finding the Third Proportional to 311,972.50 and 493,568

Step by Step Solution

1. Step 1: Write the proportion equation
   311,972.50 : 493,568 = 493,568 : x
2. Step 2: Convert to fraction form
   311,972.50/493,568 = 493,568/x
3. Step 3: Cross multiply
   311,972.50x = 493,568 × 493,568
4. Step 4: Simplify right side
   311,972.50x = 243,609,370,624
5. Step 5: Solve for x
   x = 243,609,370,624/311,972.50
6. Step 6: Final answer
   x = 780,868.09