Finding the Third Proportional to 117,684 and 174,240

Step by Step Solution

1. Step 1: Write the proportion equation
   117,684 : 174,240 = 174,240 : x
2. Step 2: Convert to fraction form
   117,684/174,240 = 174,240/x
3. Step 3: Cross multiply
   117,684x = 174,240 × 174,240
4. Step 4: Simplify right side
   117,684x = 30,359,577,600
5. Step 5: Solve for x
   x = 30,359,577,600/117,684
6. Step 6: Final answer
   x = 257,975.41