Finding the Third Proportional to 105,796 and 230,584

Step by Step Solution

1. Step 1: Write the proportion equation
   105,796 : 230,584 = 230,584 : x
2. Step 2: Convert to fraction form
   105,796/230,584 = 230,584/x
3. Step 3: Cross multiply
   105,796x = 230,584 × 230,584
4. Step 4: Simplify right side
   105,796x = 53,168,981,056
5. Step 5: Solve for x
   x = 53,168,981,056/105,796
6. Step 6: Final answer
   x = 502,561.35