Finding the Third Proportional to 49,952 and 105,480

Step by Step Solution

1. Step 1: Write the proportion equation
   49,952 : 105,480 = 105,480 : x
2. Step 2: Convert to fraction form
   49,952/105,480 = 105,480/x
3. Step 3: Cross multiply
   49,952x = 105,480 × 105,480
4. Step 4: Simplify right side
   49,952x = 11,126,030,400
5. Step 5: Solve for x
   x = 11,126,030,400/49,952
6. Step 6: Final answer
   x = 222,734.43