Finding the Third Proportional to 40,956 and 89,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,956 : 89,323.50 = 89,323.50 : x
2. Step 2: Convert to fraction form
   40,956/89,323.50 = 89,323.50/x
3. Step 3: Cross multiply
   40,956x = 89,323.50 × 89,323.50
4. Step 4: Simplify right side
   40,956x = 7,978,687,652.25
5. Step 5: Solve for x
   x = 7,978,687,652.25/40,956
6. Step 6: Final answer
   x = 194,811.20