Finding the Third Proportional to 118,974 and 175,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,974 : 175,171.50 = 175,171.50 : x
2. Step 2: Convert to fraction form
   118,974/175,171.50 = 175,171.50/x
3. Step 3: Cross multiply
   118,974x = 175,171.50 × 175,171.50
4. Step 4: Simplify right side
   118,974x = 30,685,054,412.25
5. Step 5: Solve for x
   x = 30,685,054,412.25/118,974
6. Step 6: Final answer
   x = 257,913.95