Finding the Third Proportional to 118,966 and 175,164

Step by Step Solution

1. Step 1: Write the proportion equation
   118,966 : 175,164 = 175,164 : x
2. Step 2: Convert to fraction form
   118,966/175,164 = 175,164/x
3. Step 3: Cross multiply
   118,966x = 175,164 × 175,164
4. Step 4: Simplify right side
   118,966x = 30,682,426,896
5. Step 5: Solve for x
   x = 30,682,426,896/118,966
6. Step 6: Final answer
   x = 257,909.21