Finding the Third Proportional to 118,594.50 and 259,077

Step by Step Solution

1. Step 1: Write the proportion equation
   118,594.50 : 259,077 = 259,077 : x
2. Step 2: Convert to fraction form
   118,594.50/259,077 = 259,077/x
3. Step 3: Cross multiply
   118,594.50x = 259,077 × 259,077
4. Step 4: Simplify right side
   118,594.50x = 67,120,891,929
5. Step 5: Solve for x
   x = 67,120,891,929/118,594.50
6. Step 6: Final answer
   x = 565,969.69