Finding the Third Proportional to 37,298 and 76,324

Step by Step Solution

1. Step 1: Write the proportion equation
   37,298 : 76,324 = 76,324 : x
2. Step 2: Convert to fraction form
   37,298/76,324 = 76,324/x
3. Step 3: Cross multiply
   37,298x = 76,324 × 76,324
4. Step 4: Simplify right side
   37,298x = 5,825,352,976
5. Step 5: Solve for x
   x = 5,825,352,976/37,298
6. Step 6: Final answer
   x = 156,184.06