Finding the Third Proportional to 118,952 and 175,142

Step by Step Solution

1. Step 1: Write the proportion equation
   118,952 : 175,142 = 175,142 : x
2. Step 2: Convert to fraction form
   118,952/175,142 = 175,142/x
3. Step 3: Cross multiply
   118,952x = 175,142 × 175,142
4. Step 4: Simplify right side
   118,952x = 30,674,720,164
5. Step 5: Solve for x
   x = 30,674,720,164/118,952
6. Step 6: Final answer
   x = 257,874.77