Finding the Third Proportional to 118,857 and 259,038

Step by Step Solution

1. Step 1: Write the proportion equation
   118,857 : 259,038 = 259,038 : x
2. Step 2: Convert to fraction form
   118,857/259,038 = 259,038/x
3. Step 3: Cross multiply
   118,857x = 259,038 × 259,038
4. Step 4: Simplify right side
   118,857x = 67,100,685,444
5. Step 5: Solve for x
   x = 67,100,685,444/118,857
6. Step 6: Final answer
   x = 564,549.71