Finding the Third Proportional to 116,975 and 174,683

Step by Step Solution

1. Step 1: Write the proportion equation
   116,975 : 174,683 = 174,683 : x
2. Step 2: Convert to fraction form
   116,975/174,683 = 174,683/x
3. Step 3: Cross multiply
   116,975x = 174,683 × 174,683
4. Step 4: Simplify right side
   116,975x = 30,514,150,489
5. Step 5: Solve for x
   x = 30,514,150,489/116,975
6. Step 6: Final answer
   x = 260,860.44