Finding the Third Proportional to 118,665 and 260,514

Step by Step Solution

1. Step 1: Write the proportion equation
   118,665 : 260,514 = 260,514 : x
2. Step 2: Convert to fraction form
   118,665/260,514 = 260,514/x
3. Step 3: Cross multiply
   118,665x = 260,514 × 260,514
4. Step 4: Simplify right side
   118,665x = 67,867,544,196
5. Step 5: Solve for x
   x = 67,867,544,196/118,665
6. Step 6: Final answer
   x = 571,925.54