Finding the Third Proportional to 111,906 and 241,685

Step by Step Solution

1. Step 1: Write the proportion equation
   111,906 : 241,685 = 241,685 : x
2. Step 2: Convert to fraction form
   111,906/241,685 = 241,685/x
3. Step 3: Cross multiply
   111,906x = 241,685 × 241,685
4. Step 4: Simplify right side
   111,906x = 58,411,639,225
5. Step 5: Solve for x
   x = 58,411,639,225/111,906
6. Step 6: Final answer
   x = 521,970.58