Finding the Third Proportional to 41,814 and 89,297

Step by Step Solution

1. Step 1: Write the proportion equation
   41,814 : 89,297 = 89,297 : x
2. Step 2: Convert to fraction form
   41,814/89,297 = 89,297/x
3. Step 3: Cross multiply
   41,814x = 89,297 × 89,297
4. Step 4: Simplify right side
   41,814x = 7,973,954,209
5. Step 5: Solve for x
   x = 7,973,954,209/41,814
6. Step 6: Final answer
   x = 190,700.58