Finding the Third Proportional to 78,223 and 160,091

Step by Step Solution

1. Step 1: Write the proportion equation
   78,223 : 160,091 = 160,091 : x
2. Step 2: Convert to fraction form
   78,223/160,091 = 160,091/x
3. Step 3: Cross multiply
   78,223x = 160,091 × 160,091
4. Step 4: Simplify right side
   78,223x = 25,629,128,281
5. Step 5: Solve for x
   x = 25,629,128,281/78,223
6. Step 6: Final answer
   x = 327,641.85