Finding the Third Proportional to 434,509 and 636,208

Step by Step Solution

1. Step 1: Write the proportion equation
   434,509 : 636,208 = 636,208 : x
2. Step 2: Convert to fraction form
   434,509/636,208 = 636,208/x
3. Step 3: Cross multiply
   434,509x = 636,208 × 636,208
4. Step 4: Simplify right side
   434,509x = 404,760,619,264
5. Step 5: Solve for x
   x = 404,760,619,264/434,509
6. Step 6: Final answer
   x = 931,535.64