Finding the Third Proportional to 109,032 and 231,013

Step by Step Solution

1. Step 1: Write the proportion equation
   109,032 : 231,013 = 231,013 : x
2. Step 2: Convert to fraction form
   109,032/231,013 = 231,013/x
3. Step 3: Cross multiply
   109,032x = 231,013 × 231,013
4. Step 4: Simplify right side
   109,032x = 53,367,006,169
5. Step 5: Solve for x
   x = 53,367,006,169/109,032
6. Step 6: Final answer
   x = 489,461.87