Finding the Third Proportional to 40,294.50 and 94,782.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40,294.50 : 94,782.75 = 94,782.75 : x
2. Step 2: Convert to fraction form
   40,294.50/94,782.75 = 94,782.75/x
3. Step 3: Cross multiply
   40,294.50x = 94,782.75 × 94,782.75
4. Step 4: Simplify right side
   40,294.50x = 8,983,769,697.56
5. Step 5: Solve for x
   x = 8,983,769,697.56/40,294.50
6. Step 6: Final answer
   x = 222,952.75