Finding the Third Proportional to 103,740 and 227,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,740 : 227,569.50 = 227,569.50 : x
2. Step 2: Convert to fraction form
   103,740/227,569.50 = 227,569.50/x
3. Step 3: Cross multiply
   103,740x = 227,569.50 × 227,569.50
4. Step 4: Simplify right side
   103,740x = 51,787,877,330.25
5. Step 5: Solve for x
   x = 51,787,877,330.25/103,740
6. Step 6: Final answer
   x = 499,208.38