Finding the Third Proportional to 118,287 and 258,426

Step by Step Solution

1. Step 1: Write the proportion equation
   118,287 : 258,426 = 258,426 : x
2. Step 2: Convert to fraction form
   118,287/258,426 = 258,426/x
3. Step 3: Cross multiply
   118,287x = 258,426 × 258,426
4. Step 4: Simplify right side
   118,287x = 66,783,997,476
5. Step 5: Solve for x
   x = 66,783,997,476/118,287
6. Step 6: Final answer
   x = 564,592.88