Finding the Third Proportional to 238,830 and 523,614

Step by Step Solution

1. Step 1: Write the proportion equation
   238,830 : 523,614 = 523,614 : x
2. Step 2: Convert to fraction form
   238,830/523,614 = 523,614/x
3. Step 3: Cross multiply
   238,830x = 523,614 × 523,614
4. Step 4: Simplify right side
   238,830x = 274,171,620,996
5. Step 5: Solve for x
   x = 274,171,620,996/238,830
6. Step 6: Final answer
   x = 1,147,978.15