Finding the Third Proportional to 116,559 and 174,120

Step by Step Solution

1. Step 1: Write the proportion equation
   116,559 : 174,120 = 174,120 : x
2. Step 2: Convert to fraction form
   116,559/174,120 = 174,120/x
3. Step 3: Cross multiply
   116,559x = 174,120 × 174,120
4. Step 4: Simplify right side
   116,559x = 30,317,774,400
5. Step 5: Solve for x
   x = 30,317,774,400/116,559
6. Step 6: Final answer
   x = 260,106.68