Finding the Third Proportional to 49,314 and 105,780

Step by Step Solution

1. Step 1: Write the proportion equation
   49,314 : 105,780 = 105,780 : x
2. Step 2: Convert to fraction form
   49,314/105,780 = 105,780/x
3. Step 3: Cross multiply
   49,314x = 105,780 × 105,780
4. Step 4: Simplify right side
   49,314x = 11,189,408,400
5. Step 5: Solve for x
   x = 11,189,408,400/49,314
6. Step 6: Final answer
   x = 226,901.25