Finding the Third Proportional to 107,436 and 227,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   107,436 : 227,678.25 = 227,678.25 : x
2. Step 2: Convert to fraction form
   107,436/227,678.25 = 227,678.25/x
3. Step 3: Cross multiply
   107,436x = 227,678.25 × 227,678.25
4. Step 4: Simplify right side
   107,436x = 51,837,385,523.06
5. Step 5: Solve for x
   x = 51,837,385,523.06/107,436
6. Step 6: Final answer
   x = 482,495.49