Finding the Third Proportional to 116,665 and 175,089

Step by Step Solution

1. Step 1: Write the proportion equation
   116,665 : 175,089 = 175,089 : x
2. Step 2: Convert to fraction form
   116,665/175,089 = 175,089/x
3. Step 3: Cross multiply
   116,665x = 175,089 × 175,089
4. Step 4: Simplify right side
   116,665x = 30,656,157,921
5. Step 5: Solve for x
   x = 30,656,157,921/116,665
6. Step 6: Final answer
   x = 262,770.82