Finding the Third Proportional to 115,398 and 174,642

Step by Step Solution

1. Step 1: Write the proportion equation
   115,398 : 174,642 = 174,642 : x
2. Step 2: Convert to fraction form
   115,398/174,642 = 174,642/x
3. Step 3: Cross multiply
   115,398x = 174,642 × 174,642
4. Step 4: Simplify right side
   115,398x = 30,499,828,164
5. Step 5: Solve for x
   x = 30,499,828,164/115,398
6. Step 6: Final answer
   x = 264,301.19