Finding the Third Proportional to 103,834 and 231,032

Step by Step Solution

1. Step 1: Write the proportion equation
   103,834 : 231,032 = 231,032 : x
2. Step 2: Convert to fraction form
   103,834/231,032 = 231,032/x
3. Step 3: Cross multiply
   103,834x = 231,032 × 231,032
4. Step 4: Simplify right side
   103,834x = 53,375,785,024
5. Step 5: Solve for x
   x = 53,375,785,024/103,834
6. Step 6: Final answer
   x = 514,049.20