Finding the Third Proportional to 41,402 and 89,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,402 : 89,361.50 = 89,361.50 : x
2. Step 2: Convert to fraction form
   41,402/89,361.50 = 89,361.50/x
3. Step 3: Cross multiply
   41,402x = 89,361.50 × 89,361.50
4. Step 4: Simplify right side
   41,402x = 7,985,477,682.25
5. Step 5: Solve for x
   x = 7,985,477,682.25/41,402
6. Step 6: Final answer
   x = 192,876.62