Finding the Third Proportional to 236,564 and 510,648

Step by Step Solution

1. Step 1: Write the proportion equation
   236,564 : 510,648 = 510,648 : x
2. Step 2: Convert to fraction form
   236,564/510,648 = 510,648/x
3. Step 3: Cross multiply
   236,564x = 510,648 × 510,648
4. Step 4: Simplify right side
   236,564x = 260,761,379,904
5. Step 5: Solve for x
   x = 260,761,379,904/236,564
6. Step 6: Final answer
   x = 1,102,286.82