Finding the Third Proportional to 113,050 and 174,968

Step by Step Solution

1. Step 1: Write the proportion equation
   113,050 : 174,968 = 174,968 : x
2. Step 2: Convert to fraction form
   113,050/174,968 = 174,968/x
3. Step 3: Cross multiply
   113,050x = 174,968 × 174,968
4. Step 4: Simplify right side
   113,050x = 30,613,801,024
5. Step 5: Solve for x
   x = 30,613,801,024/113,050
6. Step 6: Final answer
   x = 270,798.77