Finding the Third Proportional to 49,914 and 109,080

Step by Step Solution

1. Step 1: Write the proportion equation
   49,914 : 109,080 = 109,080 : x
2. Step 2: Convert to fraction form
   49,914/109,080 = 109,080/x
3. Step 3: Cross multiply
   49,914x = 109,080 × 109,080
4. Step 4: Simplify right side
   49,914x = 11,898,446,400
5. Step 5: Solve for x
   x = 11,898,446,400/49,914
6. Step 6: Final answer
   x = 238,378.94