Finding the Third Proportional to 258,930 and 349,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,930 : 349,834.50 = 349,834.50 : x
2. Step 2: Convert to fraction form
   258,930/349,834.50 = 349,834.50/x
3. Step 3: Cross multiply
   258,930x = 349,834.50 × 349,834.50
4. Step 4: Simplify right side
   258,930x = 122,384,177,390.25
5. Step 5: Solve for x
   x = 122,384,177,390.25/258,930
6. Step 6: Final answer
   x = 472,653.53