Finding the Third Proportional to 223,022 and 359,099

Step by Step Solution

1. Step 1: Write the proportion equation
   223,022 : 359,099 = 359,099 : x
2. Step 2: Convert to fraction form
   223,022/359,099 = 359,099/x
3. Step 3: Cross multiply
   223,022x = 359,099 × 359,099
4. Step 4: Simplify right side
   223,022x = 128,952,091,801
5. Step 5: Solve for x
   x = 128,952,091,801/223,022
6. Step 6: Final answer
   x = 578,203.46