Finding the Third Proportional to 116,536 and 174,740

Step by Step Solution

1. Step 1: Write the proportion equation
   116,536 : 174,740 = 174,740 : x
2. Step 2: Convert to fraction form
   116,536/174,740 = 174,740/x
3. Step 3: Cross multiply
   116,536x = 174,740 × 174,740
4. Step 4: Simplify right side
   116,536x = 30,534,067,600
5. Step 5: Solve for x
   x = 30,534,067,600/116,536
6. Step 6: Final answer
   x = 262,014.04