Finding the Third Proportional to 115,100 and 172,142

Step by Step Solution

1. Step 1: Write the proportion equation
   115,100 : 172,142 = 172,142 : x
2. Step 2: Convert to fraction form
   115,100/172,142 = 172,142/x
3. Step 3: Cross multiply
   115,100x = 172,142 × 172,142
4. Step 4: Simplify right side
   115,100x = 29,632,868,164
5. Step 5: Solve for x
   x = 29,632,868,164/115,100
6. Step 6: Final answer
   x = 257,453.24