Finding the Third Proportional to 258,068 and 379,508

Step by Step Solution

1. Step 1: Write the proportion equation
   258,068 : 379,508 = 379,508 : x
2. Step 2: Convert to fraction form
   258,068/379,508 = 379,508/x
3. Step 3: Cross multiply
   258,068x = 379,508 × 379,508
4. Step 4: Simplify right side
   258,068x = 144,026,322,064
5. Step 5: Solve for x
   x = 144,026,322,064/258,068
6. Step 6: Final answer
   x = 558,094.46