Finding the Third Proportional to 37,780 and 88,234

Step by Step Solution

1. Step 1: Write the proportion equation
   37,780 : 88,234 = 88,234 : x
2. Step 2: Convert to fraction form
   37,780/88,234 = 88,234/x
3. Step 3: Cross multiply
   37,780x = 88,234 × 88,234
4. Step 4: Simplify right side
   37,780x = 7,785,238,756
5. Step 5: Solve for x
   x = 7,785,238,756/37,780
6. Step 6: Final answer
   x = 206,067.73