Finding the Third Proportional to 259,401 and 392,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,401 : 392,566.50 = 392,566.50 : x
2. Step 2: Convert to fraction form
   259,401/392,566.50 = 392,566.50/x
3. Step 3: Cross multiply
   259,401x = 392,566.50 × 392,566.50
4. Step 4: Simplify right side
   259,401x = 154,108,456,922.25
5. Step 5: Solve for x
   x = 154,108,456,922.25/259,401
6. Step 6: Final answer
   x = 594,093.53