Finding the Third Proportional to 118,512.75 and 259,196.25

Step by Step Solution

1. Step 1: Write the proportion equation
   118,512.75 : 259,196.25 = 259,196.25 : x
2. Step 2: Convert to fraction form
   118,512.75/259,196.25 = 259,196.25/x
3. Step 3: Cross multiply
   118,512.75x = 259,196.25 × 259,196.25
4. Step 4: Simplify right side
   118,512.75x = 67,182,696,014.06
5. Step 5: Solve for x
   x = 67,182,696,014.06/118,512.75
6. Step 6: Final answer
   x = 566,881.59