Finding the Third Proportional to 261,226 and 390,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,226 : 390,826.50 = 390,826.50 : x
2. Step 2: Convert to fraction form
   261,226/390,826.50 = 390,826.50/x
3. Step 3: Cross multiply
   261,226x = 390,826.50 × 390,826.50
4. Step 4: Simplify right side
   261,226x = 152,745,353,102.25
5. Step 5: Solve for x
   x = 152,745,353,102.25/261,226
6. Step 6: Final answer
   x = 584,724.92