Finding the Third Proportional to 258,052 and 379,488

Step by Step Solution

1. Step 1: Write the proportion equation
   258,052 : 379,488 = 379,488 : x
2. Step 2: Convert to fraction form
   258,052/379,488 = 379,488/x
3. Step 3: Cross multiply
   258,052x = 379,488 × 379,488
4. Step 4: Simplify right side
   258,052x = 144,011,142,144
5. Step 5: Solve for x
   x = 144,011,142,144/258,052
6. Step 6: Final answer
   x = 558,070.24