Finding the Third Proportional to 116,488 and 174,836

Step by Step Solution

1. Step 1: Write the proportion equation
   116,488 : 174,836 = 174,836 : x
2. Step 2: Convert to fraction form
   116,488/174,836 = 174,836/x
3. Step 3: Cross multiply
   116,488x = 174,836 × 174,836
4. Step 4: Simplify right side
   116,488x = 30,567,626,896
5. Step 5: Solve for x
   x = 30,567,626,896/116,488
6. Step 6: Final answer
   x = 262,410.09