Finding the Third Proportional to 49,580 and 109,219

Step by Step Solution

1. Step 1: Write the proportion equation
   49,580 : 109,219 = 109,219 : x
2. Step 2: Convert to fraction form
   49,580/109,219 = 109,219/x
3. Step 3: Cross multiply
   49,580x = 109,219 × 109,219
4. Step 4: Simplify right side
   49,580x = 11,928,789,961
5. Step 5: Solve for x
   x = 11,928,789,961/49,580
6. Step 6: Final answer
   x = 240,596.81