Finding the Third Proportional to 105,636 and 232,008

Step by Step Solution

1. Step 1: Write the proportion equation
   105,636 : 232,008 = 232,008 : x
2. Step 2: Convert to fraction form
   105,636/232,008 = 232,008/x
3. Step 3: Cross multiply
   105,636x = 232,008 × 232,008
4. Step 4: Simplify right side
   105,636x = 53,827,712,064
5. Step 5: Solve for x
   x = 53,827,712,064/105,636
6. Step 6: Final answer
   x = 509,558.41