Finding the Third Proportional to 118,026 and 259,380

Step by Step Solution

1. Step 1: Write the proportion equation
   118,026 : 259,380 = 259,380 : x
2. Step 2: Convert to fraction form
   118,026/259,380 = 259,380/x
3. Step 3: Cross multiply
   118,026x = 259,380 × 259,380
4. Step 4: Simplify right side
   118,026x = 67,277,984,400
5. Step 5: Solve for x
   x = 67,277,984,400/118,026
6. Step 6: Final answer
   x = 570,026.81