Finding the Third Proportional to 49,770 and 109,314

Step by Step Solution

1. Step 1: Write the proportion equation
   49,770 : 109,314 = 109,314 : x
2. Step 2: Convert to fraction form
   49,770/109,314 = 109,314/x
3. Step 3: Cross multiply
   49,770x = 109,314 × 109,314
4. Step 4: Simplify right side
   49,770x = 11,949,550,596
5. Step 5: Solve for x
   x = 11,949,550,596/49,770
6. Step 6: Final answer
   x = 240,095.45