Finding the Third Proportional to 105,580 and 234,770

Step by Step Solution

1. Step 1: Write the proportion equation
   105,580 : 234,770 = 234,770 : x
2. Step 2: Convert to fraction form
   105,580/234,770 = 234,770/x
3. Step 3: Cross multiply
   105,580x = 234,770 × 234,770
4. Step 4: Simplify right side
   105,580x = 55,116,952,900
5. Step 5: Solve for x
   x = 55,116,952,900/105,580
6. Step 6: Final answer
   x = 522,039.71