Finding the Third Proportional to 49,392 and 102,240

Step by Step Solution

1. Step 1: Write the proportion equation
   49,392 : 102,240 = 102,240 : x
2. Step 2: Convert to fraction form
   49,392/102,240 = 102,240/x
3. Step 3: Cross multiply
   49,392x = 102,240 × 102,240
4. Step 4: Simplify right side
   49,392x = 10,453,017,600
5. Step 5: Solve for x
   x = 10,453,017,600/49,392
6. Step 6: Final answer
   x = 211,633.82