Finding the Third Proportional to 258,034.50 and 379,464

Step by Step Solution

1. Step 1: Write the proportion equation
   258,034.50 : 379,464 = 379,464 : x
2. Step 2: Convert to fraction form
   258,034.50/379,464 = 379,464/x
3. Step 3: Cross multiply
   258,034.50x = 379,464 × 379,464
4. Step 4: Simplify right side
   258,034.50x = 143,992,927,296
5. Step 5: Solve for x
   x = 143,992,927,296/258,034.50
6. Step 6: Final answer
   x = 558,037.50