Finding the Third Proportional to 108,706 and 238,796

Step by Step Solution

1. Step 1: Write the proportion equation
   108,706 : 238,796 = 238,796 : x
2. Step 2: Convert to fraction form
   108,706/238,796 = 238,796/x
3. Step 3: Cross multiply
   108,706x = 238,796 × 238,796
4. Step 4: Simplify right side
   108,706x = 57,023,529,616
5. Step 5: Solve for x
   x = 57,023,529,616/108,706
6. Step 6: Final answer
   x = 524,566.53