Finding the Third Proportional to 359,046 and 531,636

Step by Step Solution

1. Step 1: Write the proportion equation
   359,046 : 531,636 = 531,636 : x
2. Step 2: Convert to fraction form
   359,046/531,636 = 531,636/x
3. Step 3: Cross multiply
   359,046x = 531,636 × 531,636
4. Step 4: Simplify right side
   359,046x = 282,636,836,496
5. Step 5: Solve for x
   x = 282,636,836,496/359,046
6. Step 6: Final answer
   x = 787,188.37