Finding the Third Proportional to 50,191 and 109,129

Step by Step Solution

1. Step 1: Write the proportion equation
   50,191 : 109,129 = 109,129 : x
2. Step 2: Convert to fraction form
   50,191/109,129 = 109,129/x
3. Step 3: Cross multiply
   50,191x = 109,129 × 109,129
4. Step 4: Simplify right side
   50,191x = 11,909,138,641
5. Step 5: Solve for x
   x = 11,909,138,641/50,191
6. Step 6: Final answer
   x = 237,276.38