Finding the Third Proportional to 49,924 and 109,226

Step by Step Solution

1. Step 1: Write the proportion equation
   49,924 : 109,226 = 109,226 : x
2. Step 2: Convert to fraction form
   49,924/109,226 = 109,226/x
3. Step 3: Cross multiply
   49,924x = 109,226 × 109,226
4. Step 4: Simplify right side
   49,924x = 11,930,319,076
5. Step 5: Solve for x
   x = 11,930,319,076/49,924
6. Step 6: Final answer
   x = 238,969.62