Finding the Third Proportional to 104,096 and 231,484

Step by Step Solution

1. Step 1: Write the proportion equation
   104,096 : 231,484 = 231,484 : x
2. Step 2: Convert to fraction form
   104,096/231,484 = 231,484/x
3. Step 3: Cross multiply
   104,096x = 231,484 × 231,484
4. Step 4: Simplify right side
   104,096x = 53,584,842,256
5. Step 5: Solve for x
   x = 53,584,842,256/104,096
6. Step 6: Final answer
   x = 514,763.70