Finding the Third Proportional to 49,897.69 and 109,014.19

Step by Step Solution

1. Step 1: Write the proportion equation
   49,897.69 : 109,014.19 = 109,014.19 : x
2. Step 2: Convert to fraction form
   49,897.69/109,014.19 = 109,014.19/x
3. Step 3: Cross multiply
   49,897.69x = 109,014.19 × 109,014.19
4. Step 4: Simplify right side
   49,897.69x = 11,884,093,076.29
5. Step 5: Solve for x
   x = 11,884,093,076.29/49,897.69
6. Step 6: Final answer
   x = 238,169.22