Finding the Third Proportional to 116,872 and 175,308

Step by Step Solution

1. Step 1: Write the proportion equation
   116,872 : 175,308 = 175,308 : x
2. Step 2: Convert to fraction form
   116,872/175,308 = 175,308/x
3. Step 3: Cross multiply
   116,872x = 175,308 × 175,308
4. Step 4: Simplify right side
   116,872x = 30,732,894,864
5. Step 5: Solve for x
   x = 30,732,894,864/116,872
6. Step 6: Final answer
   x = 262,962