Finding the Third Proportional to 118,509 and 259,188.75

Step by Step Solution

1. Step 1: Write the proportion equation
   118,509 : 259,188.75 = 259,188.75 : x
2. Step 2: Convert to fraction form
   118,509/259,188.75 = 259,188.75/x
3. Step 3: Cross multiply
   118,509x = 259,188.75 × 259,188.75
4. Step 4: Simplify right side
   118,509x = 67,178,808,126.56
5. Step 5: Solve for x
   x = 67,178,808,126.56/118,509
6. Step 6: Final answer
   x = 566,866.72