Finding the Third Proportional to 109,071 and 231,327

Step by Step Solution

1. Step 1: Write the proportion equation
   109,071 : 231,327 = 231,327 : x
2. Step 2: Convert to fraction form
   109,071/231,327 = 231,327/x
3. Step 3: Cross multiply
   109,071x = 231,327 × 231,327
4. Step 4: Simplify right side
   109,071x = 53,512,180,929
5. Step 5: Solve for x
   x = 53,512,180,929/109,071
6. Step 6: Final answer
   x = 490,617.86