Finding the Third Proportional to 107,388 and 233,222

Step by Step Solution

1. Step 1: Write the proportion equation
   107,388 : 233,222 = 233,222 : x
2. Step 2: Convert to fraction form
   107,388/233,222 = 233,222/x
3. Step 3: Cross multiply
   107,388x = 233,222 × 233,222
4. Step 4: Simplify right side
   107,388x = 54,392,501,284
5. Step 5: Solve for x
   x = 54,392,501,284/107,388
6. Step 6: Final answer
   x = 506,504.46