Finding the Third Proportional to 118,597.50 and 259,083

Step by Step Solution

1. Step 1: Write the proportion equation
   118,597.50 : 259,083 = 259,083 : x
2. Step 2: Convert to fraction form
   118,597.50/259,083 = 259,083/x
3. Step 3: Cross multiply
   118,597.50x = 259,083 × 259,083
4. Step 4: Simplify right side
   118,597.50x = 67,124,000,889
5. Step 5: Solve for x
   x = 67,124,000,889/118,597.50
6. Step 6: Final answer
   x = 565,981.58