Finding the Third Proportional to 109,208 and 233,596

Step by Step Solution

1. Step 1: Write the proportion equation
   109,208 : 233,596 = 233,596 : x
2. Step 2: Convert to fraction form
   109,208/233,596 = 233,596/x
3. Step 3: Cross multiply
   109,208x = 233,596 × 233,596
4. Step 4: Simplify right side
   109,208x = 54,567,091,216
5. Step 5: Solve for x
   x = 54,567,091,216/109,208
6. Step 6: Final answer
   x = 499,662.03