Finding the Third Proportional to 353,820 and 529,434

Step by Step Solution

1. Step 1: Write the proportion equation
   353,820 : 529,434 = 529,434 : x
2. Step 2: Convert to fraction form
   353,820/529,434 = 529,434/x
3. Step 3: Cross multiply
   353,820x = 529,434 × 529,434
4. Step 4: Simplify right side
   353,820x = 280,300,360,356
5. Step 5: Solve for x
   x = 280,300,360,356/353,820
6. Step 6: Final answer
   x = 792,211.75