Finding the Third Proportional to 49,922 and 109,222

Step by Step Solution

1. Step 1: Write the proportion equation
   49,922 : 109,222 = 109,222 : x
2. Step 2: Convert to fraction form
   49,922/109,222 = 109,222/x
3. Step 3: Cross multiply
   49,922x = 109,222 × 109,222
4. Step 4: Simplify right side
   49,922x = 11,929,445,284
5. Step 5: Solve for x
   x = 11,929,445,284/49,922
6. Step 6: Final answer
   x = 238,961.69