Finding the Third Proportional to 116,544 and 174,888

Step by Step Solution

1. Step 1: Write the proportion equation
   116,544 : 174,888 = 174,888 : x
2. Step 2: Convert to fraction form
   116,544/174,888 = 174,888/x
3. Step 3: Cross multiply
   116,544x = 174,888 × 174,888
4. Step 4: Simplify right side
   116,544x = 30,585,812,544
5. Step 5: Solve for x
   x = 30,585,812,544/116,544
6. Step 6: Final answer
   x = 262,440.04