Finding the Third Proportional to 137,976 and 301,782

Step by Step Solution

1. Step 1: Write the proportion equation
   137,976 : 301,782 = 301,782 : x
2. Step 2: Convert to fraction form
   137,976/301,782 = 301,782/x
3. Step 3: Cross multiply
   137,976x = 301,782 × 301,782
4. Step 4: Simplify right side
   137,976x = 91,072,375,524
5. Step 5: Solve for x
   x = 91,072,375,524/137,976
6. Step 6: Final answer
   x = 660,059.54