Finding the Third Proportional to 40,405.50 and 94,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,405.50 : 94,378.50 = 94,378.50 : x
2. Step 2: Convert to fraction form
   40,405.50/94,378.50 = 94,378.50/x
3. Step 3: Cross multiply
   40,405.50x = 94,378.50 × 94,378.50
4. Step 4: Simplify right side
   40,405.50x = 8,907,301,262.25
5. Step 5: Solve for x
   x = 8,907,301,262.25/40,405.50
6. Step 6: Final answer
   x = 220,447.74