Finding the Third Proportional to 49,921 and 109,053

Step by Step Solution

1. Step 1: Write the proportion equation
   49,921 : 109,053 = 109,053 : x
2. Step 2: Convert to fraction form
   49,921/109,053 = 109,053/x
3. Step 3: Cross multiply
   49,921x = 109,053 × 109,053
4. Step 4: Simplify right side
   49,921x = 11,892,556,809
5. Step 5: Solve for x
   x = 11,892,556,809/49,921
6. Step 6: Final answer
   x = 238,227.54