Finding the Third Proportional to 105,422 and 231,352

Step by Step Solution

1. Step 1: Write the proportion equation
   105,422 : 231,352 = 231,352 : x
2. Step 2: Convert to fraction form
   105,422/231,352 = 231,352/x
3. Step 3: Cross multiply
   105,422x = 231,352 × 231,352
4. Step 4: Simplify right side
   105,422x = 53,523,747,904
5. Step 5: Solve for x
   x = 53,523,747,904/105,422
6. Step 6: Final answer
   x = 507,709.47