Finding the Third Proportional to 204,282 and 317,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,282 : 317,047.50 = 317,047.50 : x
2. Step 2: Convert to fraction form
   204,282/317,047.50 = 317,047.50/x
3. Step 3: Cross multiply
   204,282x = 317,047.50 × 317,047.50
4. Step 4: Simplify right side
   204,282x = 100,519,117,256.25
5. Step 5: Solve for x
   x = 100,519,117,256.25/204,282
6. Step 6: Final answer
   x = 492,060.57