Finding the Third Proportional to 118,528 and 259,196

Step by Step Solution

1. Step 1: Write the proportion equation
   118,528 : 259,196 = 259,196 : x
2. Step 2: Convert to fraction form
   118,528/259,196 = 259,196/x
3. Step 3: Cross multiply
   118,528x = 259,196 × 259,196
4. Step 4: Simplify right side
   118,528x = 67,182,566,416
5. Step 5: Solve for x
   x = 67,182,566,416/118,528
6. Step 6: Final answer
   x = 566,807.56