Finding the Third Proportional to 215,409 and 338,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   215,409 : 338,797.50 = 338,797.50 : x
2. Step 2: Convert to fraction form
   215,409/338,797.50 = 338,797.50/x
3. Step 3: Cross multiply
   215,409x = 338,797.50 × 338,797.50
4. Step 4: Simplify right side
   215,409x = 114,783,746,006.25
5. Step 5: Solve for x
   x = 114,783,746,006.25/215,409
6. Step 6: Final answer
   x = 532,864.21