Finding the Third Proportional to 258,199 and 391,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,199 : 391,162.50 = 391,162.50 : x
2. Step 2: Convert to fraction form
   258,199/391,162.50 = 391,162.50/x
3. Step 3: Cross multiply
   258,199x = 391,162.50 × 391,162.50
4. Step 4: Simplify right side
   258,199x = 153,008,101,406.25
5. Step 5: Solve for x
   x = 153,008,101,406.25/258,199
6. Step 6: Final answer
   x = 592,597.58