Finding the Third Proportional to 257,526 and 398,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,526 : 398,749.50 = 398,749.50 : x
2. Step 2: Convert to fraction form
   257,526/398,749.50 = 398,749.50/x
3. Step 3: Cross multiply
   257,526x = 398,749.50 × 398,749.50
4. Step 4: Simplify right side
   257,526x = 159,001,163,750.25
5. Step 5: Solve for x
   x = 159,001,163,750.25/257,526
6. Step 6: Final answer
   x = 617,417.91