Finding the Third Proportional to 338,819 and 451,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,819 : 451,697.50 = 451,697.50 : x
2. Step 2: Convert to fraction form
   338,819/451,697.50 = 451,697.50/x
3. Step 3: Cross multiply
   338,819x = 451,697.50 × 451,697.50
4. Step 4: Simplify right side
   338,819x = 204,030,631,506.25
5. Step 5: Solve for x
   x = 204,030,631,506.25/338,819
6. Step 6: Final answer
   x = 602,181.79