Finding the Third Proportional to 105,606 and 234,540

Step by Step Solution

1. Step 1: Write the proportion equation
   105,606 : 234,540 = 234,540 : x
2. Step 2: Convert to fraction form
   105,606/234,540 = 234,540/x
3. Step 3: Cross multiply
   105,606x = 234,540 × 234,540
4. Step 4: Simplify right side
   105,606x = 55,009,011,600
5. Step 5: Solve for x
   x = 55,009,011,600/105,606
6. Step 6: Final answer
   x = 520,889.07