Finding the Third Proportional to 120,632 and 263,614

Step by Step Solution

1. Step 1: Write the proportion equation
   120,632 : 263,614 = 263,614 : x
2. Step 2: Convert to fraction form
   120,632/263,614 = 263,614/x
3. Step 3: Cross multiply
   120,632x = 263,614 × 263,614
4. Step 4: Simplify right side
   120,632x = 69,492,340,996
5. Step 5: Solve for x
   x = 69,492,340,996/120,632
6. Step 6: Final answer
   x = 576,068.88