Finding the Third Proportional to 115,428 and 173,142

Step by Step Solution

1. Step 1: Write the proportion equation
   115,428 : 173,142 = 173,142 : x
2. Step 2: Convert to fraction form
   115,428/173,142 = 173,142/x
3. Step 3: Cross multiply
   115,428x = 173,142 × 173,142
4. Step 4: Simplify right side
   115,428x = 29,978,152,164
5. Step 5: Solve for x
   x = 29,978,152,164/115,428
6. Step 6: Final answer
   x = 259,713