Finding the Third Proportional to 58,538 and 90,555

Step by Step Solution

1. Step 1: Write the proportion equation
   58,538 : 90,555 = 90,555 : x
2. Step 2: Convert to fraction form
   58,538/90,555 = 90,555/x
3. Step 3: Cross multiply
   58,538x = 90,555 × 90,555
4. Step 4: Simplify right side
   58,538x = 8,200,208,025
5. Step 5: Solve for x
   x = 8,200,208,025/58,538
6. Step 6: Final answer
   x = 140,083.50