Finding the Third Proportional to 49,106.25 and 105,381

Step by Step Solution

1. Step 1: Write the proportion equation
   49,106.25 : 105,381 = 105,381 : x
2. Step 2: Convert to fraction form
   49,106.25/105,381 = 105,381/x
3. Step 3: Cross multiply
   49,106.25x = 105,381 × 105,381
4. Step 4: Simplify right side
   49,106.25x = 11,105,155,161
5. Step 5: Solve for x
   x = 11,105,155,161/49,106.25
6. Step 6: Final answer
   x = 226,145.45