Finding the Third Proportional to 118,954.50 and 175,145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   118,954.50 : 175,145.25 = 175,145.25 : x
2. Step 2: Convert to fraction form
   118,954.50/175,145.25 = 175,145.25/x
3. Step 3: Cross multiply
   118,954.50x = 175,145.25 × 175,145.25
4. Step 4: Simplify right side
   118,954.50x = 30,675,858,597.56
5. Step 5: Solve for x
   x = 30,675,858,597.56/118,954.50
6. Step 6: Final answer
   x = 257,878.93