Finding the Third Proportional to 146,328 and 213,916

Step by Step Solution

1. Step 1: Write the proportion equation
   146,328 : 213,916 = 213,916 : x
2. Step 2: Convert to fraction form
   146,328/213,916 = 213,916/x
3. Step 3: Cross multiply
   146,328x = 213,916 × 213,916
4. Step 4: Simplify right side
   146,328x = 45,760,055,056
5. Step 5: Solve for x
   x = 45,760,055,056/146,328
6. Step 6: Final answer
   x = 312,722.48