Finding the Third Proportional to 49,838 and 109,018

Step by Step Solution

1. Step 1: Write the proportion equation
   49,838 : 109,018 = 109,018 : x
2. Step 2: Convert to fraction form
   49,838/109,018 = 109,018/x
3. Step 3: Cross multiply
   49,838x = 109,018 × 109,018
4. Step 4: Simplify right side
   49,838x = 11,884,924,324
5. Step 5: Solve for x
   x = 11,884,924,324/49,838
6. Step 6: Final answer
   x = 238,471.13