Finding the Third Proportional to 40,978.13 and 89,403.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40,978.13 : 89,403.75 = 89,403.75 : x
2. Step 2: Convert to fraction form
   40,978.13/89,403.75 = 89,403.75/x
3. Step 3: Cross multiply
   40,978.13x = 89,403.75 × 89,403.75
4. Step 4: Simplify right side
   40,978.13x = 7,993,030,514.06
5. Step 5: Solve for x
   x = 7,993,030,514.06/40,978.13
6. Step 6: Final answer
   x = 195,056.03