Finding the Third Proportional to 50,384.25 and 109,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,384.25 : 109,978.75 = 109,978.75 : x
2. Step 2: Convert to fraction form
   50,384.25/109,978.75 = 109,978.75/x
3. Step 3: Cross multiply
   50,384.25x = 109,978.75 × 109,978.75
4. Step 4: Simplify right side
   50,384.25x = 12,095,325,451.56
5. Step 5: Solve for x
   x = 12,095,325,451.56/50,384.25
6. Step 6: Final answer
   x = 240,061.64