Finding the Third Proportional to 37,806 and 88,305

Step by Step Solution

1. Step 1: Write the proportion equation
   37,806 : 88,305 = 88,305 : x
2. Step 2: Convert to fraction form
   37,806/88,305 = 88,305/x
3. Step 3: Cross multiply
   37,806x = 88,305 × 88,305
4. Step 4: Simplify right side
   37,806x = 7,797,773,025
5. Step 5: Solve for x
   x = 7,797,773,025/37,806
6. Step 6: Final answer
   x = 206,257.55