Finding the Third Proportional to 49,924 and 109,091

Step by Step Solution

1. Step 1: Write the proportion equation
   49,924 : 109,091 = 109,091 : x
2. Step 2: Convert to fraction form
   49,924/109,091 = 109,091/x
3. Step 3: Cross multiply
   49,924x = 109,091 × 109,091
4. Step 4: Simplify right side
   49,924x = 11,900,846,281
5. Step 5: Solve for x
   x = 11,900,846,281/49,924
6. Step 6: Final answer
   x = 238,379.26