Finding the Third Proportional to 49,314 and 108,450

Step by Step Solution

1. Step 1: Write the proportion equation
   49,314 : 108,450 = 108,450 : x
2. Step 2: Convert to fraction form
   49,314/108,450 = 108,450/x
3. Step 3: Cross multiply
   49,314x = 108,450 × 108,450
4. Step 4: Simplify right side
   49,314x = 11,761,402,500
5. Step 5: Solve for x
   x = 11,761,402,500/49,314
6. Step 6: Final answer
   x = 238,500.27