Finding the Third Proportional to 107,730 and 227,103.75

Step by Step Solution

1. Step 1: Write the proportion equation
   107,730 : 227,103.75 = 227,103.75 : x
2. Step 2: Convert to fraction form
   107,730/227,103.75 = 227,103.75/x
3. Step 3: Cross multiply
   107,730x = 227,103.75 × 227,103.75
4. Step 4: Simplify right side
   107,730x = 51,576,113,264.06
5. Step 5: Solve for x
   x = 51,576,113,264.06/107,730
6. Step 6: Final answer
   x = 478,753.49