Finding the Third Proportional to 118,923.75 and 259,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,923.75 : 259,168.50 = 259,168.50 : x
2. Step 2: Convert to fraction form
   118,923.75/259,168.50 = 259,168.50/x
3. Step 3: Cross multiply
   118,923.75x = 259,168.50 × 259,168.50
4. Step 4: Simplify right side
   118,923.75x = 67,168,311,392.25
5. Step 5: Solve for x
   x = 67,168,311,392.25/118,923.75
6. Step 6: Final answer
   x = 564,801.49