Finding the Third Proportional to 42,305 and 100,223

Step by Step Solution

1. Step 1: Write the proportion equation
   42,305 : 100,223 = 100,223 : x
2. Step 2: Convert to fraction form
   42,305/100,223 = 100,223/x
3. Step 3: Cross multiply
   42,305x = 100,223 × 100,223
4. Step 4: Simplify right side
   42,305x = 10,044,649,729
5. Step 5: Solve for x
   x = 10,044,649,729/42,305
6. Step 6: Final answer
   x = 237,434.10