Finding the Third Proportional to 138,072 and 301,980

Step by Step Solution

1. Step 1: Write the proportion equation
   138,072 : 301,980 = 301,980 : x
2. Step 2: Convert to fraction form
   138,072/301,980 = 301,980/x
3. Step 3: Cross multiply
   138,072x = 301,980 × 301,980
4. Step 4: Simplify right side
   138,072x = 91,191,920,400
5. Step 5: Solve for x
   x = 91,191,920,400/138,072
6. Step 6: Final answer
   x = 660,466.43