Finding the Third Proportional to 105,588 and 227,680

Step by Step Solution

1. Step 1: Write the proportion equation
   105,588 : 227,680 = 227,680 : x
2. Step 2: Convert to fraction form
   105,588/227,680 = 227,680/x
3. Step 3: Cross multiply
   105,588x = 227,680 × 227,680
4. Step 4: Simplify right side
   105,588x = 51,838,182,400
5. Step 5: Solve for x
   x = 51,838,182,400/105,588
6. Step 6: Final answer
   x = 490,947.67