Finding the Third Proportional to 108,916 and 231,272

Step by Step Solution

1. Step 1: Write the proportion equation
   108,916 : 231,272 = 231,272 : x
2. Step 2: Convert to fraction form
   108,916/231,272 = 231,272/x
3. Step 3: Cross multiply
   108,916x = 231,272 × 231,272
4. Step 4: Simplify right side
   108,916x = 53,486,737,984
5. Step 5: Solve for x
   x = 53,486,737,984/108,916
6. Step 6: Final answer
   x = 491,082.47