Finding the Third Proportional to 115,402 and 174,648

Step by Step Solution

1. Step 1: Write the proportion equation
   115,402 : 174,648 = 174,648 : x
2. Step 2: Convert to fraction form
   115,402/174,648 = 174,648/x
3. Step 3: Cross multiply
   115,402x = 174,648 × 174,648
4. Step 4: Simplify right side
   115,402x = 30,501,923,904
5. Step 5: Solve for x
   x = 30,501,923,904/115,402
6. Step 6: Final answer
   x = 264,310.18