Finding the Third Proportional to 41,407 and 89,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,407 : 89,815.50 = 89,815.50 : x
2. Step 2: Convert to fraction form
   41,407/89,815.50 = 89,815.50/x
3. Step 3: Cross multiply
   41,407x = 89,815.50 × 89,815.50
4. Step 4: Simplify right side
   41,407x = 8,066,824,040.25
5. Step 5: Solve for x
   x = 8,066,824,040.25/41,407
6. Step 6: Final answer
   x = 194,817.88