Finding the Third Proportional to 137,538 and 301,320

Step by Step Solution

1. Step 1: Write the proportion equation
   137,538 : 301,320 = 301,320 : x
2. Step 2: Convert to fraction form
   137,538/301,320 = 301,320/x
3. Step 3: Cross multiply
   137,538x = 301,320 × 301,320
4. Step 4: Simplify right side
   137,538x = 90,793,742,400
5. Step 5: Solve for x
   x = 90,793,742,400/137,538
6. Step 6: Final answer
   x = 660,135.69