Finding the Third Proportional to 118,751 and 174,984

Step by Step Solution

1. Step 1: Write the proportion equation
   118,751 : 174,984 = 174,984 : x
2. Step 2: Convert to fraction form
   118,751/174,984 = 174,984/x
3. Step 3: Cross multiply
   118,751x = 174,984 × 174,984
4. Step 4: Simplify right side
   118,751x = 30,619,400,256
5. Step 5: Solve for x
   x = 30,619,400,256/118,751
6. Step 6: Final answer
   x = 257,845.41