Finding the Third Proportional to 109,072 and 231,328

Step by Step Solution

1. Step 1: Write the proportion equation
   109,072 : 231,328 = 231,328 : x
2. Step 2: Convert to fraction form
   109,072/231,328 = 231,328/x
3. Step 3: Cross multiply
   109,072x = 231,328 × 231,328
4. Step 4: Simplify right side
   109,072x = 53,512,643,584
5. Step 5: Solve for x
   x = 53,512,643,584/109,072
6. Step 6: Final answer
   x = 490,617.61