Finding the Third Proportional to 204,645 and 315,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,645 : 315,715.50 = 315,715.50 : x
2. Step 2: Convert to fraction form
   204,645/315,715.50 = 315,715.50/x
3. Step 3: Cross multiply
   204,645x = 315,715.50 × 315,715.50
4. Step 4: Simplify right side
   204,645x = 99,676,276,940.25
5. Step 5: Solve for x
   x = 99,676,276,940.25/204,645
6. Step 6: Final answer
   x = 487,069.20