Finding the Third Proportional to 116,495 and 174,558

Step by Step Solution

1. Step 1: Write the proportion equation
   116,495 : 174,558 = 174,558 : x
2. Step 2: Convert to fraction form
   116,495/174,558 = 174,558/x
3. Step 3: Cross multiply
   116,495x = 174,558 × 174,558
4. Step 4: Simplify right side
   116,495x = 30,470,495,364
5. Step 5: Solve for x
   x = 30,470,495,364/116,495
6. Step 6: Final answer
   x = 261,560.54