Finding the Third Proportional to 225,144 and 316,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,144 : 316,654.50 = 316,654.50 : x
2. Step 2: Convert to fraction form
   225,144/316,654.50 = 316,654.50/x
3. Step 3: Cross multiply
   225,144x = 316,654.50 × 316,654.50
4. Step 4: Simplify right side
   225,144x = 100,270,072,370.25
5. Step 5: Solve for x
   x = 100,270,072,370.25/225,144
6. Step 6: Final answer
   x = 445,359.74