Finding the Third Proportional to 258,795 and 391,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,795 : 391,837.50 = 391,837.50 : x
2. Step 2: Convert to fraction form
   258,795/391,837.50 = 391,837.50/x
3. Step 3: Cross multiply
   258,795x = 391,837.50 × 391,837.50
4. Step 4: Simplify right side
   258,795x = 153,536,626,406.25
5. Step 5: Solve for x
   x = 153,536,626,406.25/258,795
6. Step 6: Final answer
   x = 593,275.09