Finding the Third Proportional to 353,823 and 529,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,823 : 529,438.50 = 529,438.50 : x
2. Step 2: Convert to fraction form
   353,823/529,438.50 = 529,438.50/x
3. Step 3: Cross multiply
   353,823x = 529,438.50 × 529,438.50
4. Step 4: Simplify right side
   353,823x = 280,305,125,282.25
5. Step 5: Solve for x
   x = 280,305,125,282.25/353,823
6. Step 6: Final answer
   x = 792,218.50