Finding the Third Proportional to 116,467 and 175,808

Step by Step Solution

1. Step 1: Write the proportion equation
   116,467 : 175,808 = 175,808 : x
2. Step 2: Convert to fraction form
   116,467/175,808 = 175,808/x
3. Step 3: Cross multiply
   116,467x = 175,808 × 175,808
4. Step 4: Simplify right side
   116,467x = 30,908,452,864
5. Step 5: Solve for x
   x = 30,908,452,864/116,467
6. Step 6: Final answer
   x = 265,383.78