Finding the Third Proportional to 204,330 and 403,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,330 : 403,420.50 = 403,420.50 : x
2. Step 2: Convert to fraction form
   204,330/403,420.50 = 403,420.50/x
3. Step 3: Cross multiply
   204,330x = 403,420.50 × 403,420.50
4. Step 4: Simplify right side
   204,330x = 162,748,099,820.25
5. Step 5: Solve for x
   x = 162,748,099,820.25/204,330
6. Step 6: Final answer
   x = 796,496.35