Finding the Third Proportional to 107,280 and 231,422

Step by Step Solution

1. Step 1: Write the proportion equation
   107,280 : 231,422 = 231,422 : x
2. Step 2: Convert to fraction form
   107,280/231,422 = 231,422/x
3. Step 3: Cross multiply
   107,280x = 231,422 × 231,422
4. Step 4: Simplify right side
   107,280x = 53,556,142,084
5. Step 5: Solve for x
   x = 53,556,142,084/107,280
6. Step 6: Final answer
   x = 499,218.33