Finding the Third Proportional to 258,065 and 379,507

Step by Step Solution

1. Step 1: Write the proportion equation
   258,065 : 379,507 = 379,507 : x
2. Step 2: Convert to fraction form
   258,065/379,507 = 379,507/x
3. Step 3: Cross multiply
   258,065x = 379,507 × 379,507
4. Step 4: Simplify right side
   258,065x = 144,025,563,049
5. Step 5: Solve for x
   x = 144,025,563,049/258,065
6. Step 6: Final answer
   x = 558,098.01