Finding the Third Proportional to 105,609 and 234,546

Step by Step Solution

1. Step 1: Write the proportion equation
   105,609 : 234,546 = 234,546 : x
2. Step 2: Convert to fraction form
   105,609/234,546 = 234,546/x
3. Step 3: Cross multiply
   105,609x = 234,546 × 234,546
4. Step 4: Simplify right side
   105,609x = 55,011,826,116
5. Step 5: Solve for x
   x = 55,011,826,116/105,609
6. Step 6: Final answer
   x = 520,900.93