Finding the Third Proportional to 138,614 and 300,538

Step by Step Solution

1. Step 1: Write the proportion equation
   138,614 : 300,538 = 300,538 : x
2. Step 2: Convert to fraction form
   138,614/300,538 = 300,538/x
3. Step 3: Cross multiply
   138,614x = 300,538 × 300,538
4. Step 4: Simplify right side
   138,614x = 90,323,089,444
5. Step 5: Solve for x
   x = 90,323,089,444/138,614
6. Step 6: Final answer
   x = 651,615.92