Finding the Third Proportional to 105,219 and 227,934

Step by Step Solution

1. Step 1: Write the proportion equation
   105,219 : 227,934 = 227,934 : x
2. Step 2: Convert to fraction form
   105,219/227,934 = 227,934/x
3. Step 3: Cross multiply
   105,219x = 227,934 × 227,934
4. Step 4: Simplify right side
   105,219x = 51,953,908,356
5. Step 5: Solve for x
   x = 51,953,908,356/105,219
6. Step 6: Final answer
   x = 493,769.27