Finding the Third Proportional to 164,223 and 359,117

Step by Step Solution

1. Step 1: Write the proportion equation
   164,223 : 359,117 = 359,117 : x
2. Step 2: Convert to fraction form
   164,223/359,117 = 359,117/x
3. Step 3: Cross multiply
   164,223x = 359,117 × 359,117
4. Step 4: Simplify right side
   164,223x = 128,965,019,689
5. Step 5: Solve for x
   x = 128,965,019,689/164,223
6. Step 6: Final answer
   x = 785,304.25