Finding the Third Proportional to 137,640 and 301,524

Step by Step Solution

1. Step 1: Write the proportion equation
   137,640 : 301,524 = 301,524 : x
2. Step 2: Convert to fraction form
   137,640/301,524 = 301,524/x
3. Step 3: Cross multiply
   137,640x = 301,524 × 301,524
4. Step 4: Simplify right side
   137,640x = 90,916,722,576
5. Step 5: Solve for x
   x = 90,916,722,576/137,640
6. Step 6: Final answer
   x = 660,539.98