Finding the Third Proportional to 116,626 and 174,909

Step by Step Solution

1. Step 1: Write the proportion equation
   116,626 : 174,909 = 174,909 : x
2. Step 2: Convert to fraction form
   116,626/174,909 = 174,909/x
3. Step 3: Cross multiply
   116,626x = 174,909 × 174,909
4. Step 4: Simplify right side
   116,626x = 30,593,158,281
5. Step 5: Solve for x
   x = 30,593,158,281/116,626
6. Step 6: Final answer
   x = 262,318.51