Finding the Third Proportional to 49,095 and 105,134

Step by Step Solution

1. Step 1: Write the proportion equation
   49,095 : 105,134 = 105,134 : x
2. Step 2: Convert to fraction form
   49,095/105,134 = 105,134/x
3. Step 3: Cross multiply
   49,095x = 105,134 × 105,134
4. Step 4: Simplify right side
   49,095x = 11,053,157,956
5. Step 5: Solve for x
   x = 11,053,157,956/49,095
6. Step 6: Final answer
   x = 225,138.16