Finding the Third Proportional to 103,417 and 227,784

Step by Step Solution

1. Step 1: Write the proportion equation
   103,417 : 227,784 = 227,784 : x
2. Step 2: Convert to fraction form
   103,417/227,784 = 227,784/x
3. Step 3: Cross multiply
   103,417x = 227,784 × 227,784
4. Step 4: Simplify right side
   103,417x = 51,885,550,656
5. Step 5: Solve for x
   x = 51,885,550,656/103,417
6. Step 6: Final answer
   x = 501,712.01