Finding the Third Proportional to 123,636 and 264,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,636 : 264,763.50 = 264,763.50 : x
2. Step 2: Convert to fraction form
   123,636/264,763.50 = 264,763.50/x
3. Step 3: Cross multiply
   123,636x = 264,763.50 × 264,763.50
4. Step 4: Simplify right side
   123,636x = 70,099,710,932.25
5. Step 5: Solve for x
   x = 70,099,710,932.25/123,636
6. Step 6: Final answer
   x = 566,984.62