Finding the Third Proportional to 332,645 and 521,222

Step by Step Solution

1. Step 1: Write the proportion equation
   332,645 : 521,222 = 521,222 : x
2. Step 2: Convert to fraction form
   332,645/521,222 = 521,222/x
3. Step 3: Cross multiply
   332,645x = 521,222 × 521,222
4. Step 4: Simplify right side
   332,645x = 271,672,373,284
5. Step 5: Solve for x
   x = 271,672,373,284/332,645
6. Step 6: Final answer
   x = 816,703.61