Finding the Third Proportional to 118,592 and 259,072

Step by Step Solution

1. Step 1: Write the proportion equation
   118,592 : 259,072 = 259,072 : x
2. Step 2: Convert to fraction form
   118,592/259,072 = 259,072/x
3. Step 3: Cross multiply
   118,592x = 259,072 × 259,072
4. Step 4: Simplify right side
   118,592x = 67,118,301,184
5. Step 5: Solve for x
   x = 67,118,301,184/118,592
6. Step 6: Final answer
   x = 565,959.77