Finding the Third Proportional to 41,407.13 and 89,815.88

Step by Step Solution

1. Step 1: Write the proportion equation
   41,407.13 : 89,815.88 = 89,815.88 : x
2. Step 2: Convert to fraction form
   41,407.13/89,815.88 = 89,815.88/x
3. Step 3: Cross multiply
   41,407.13x = 89,815.88 × 89,815.88
4. Step 4: Simplify right side
   41,407.13x = 8,066,891,402.02
5. Step 5: Solve for x
   x = 8,066,891,402.02/41,407.13
6. Step 6: Final answer
   x = 194,818.92