Finding the Third Proportional to 49,054 and 105,880

Step by Step Solution

1. Step 1: Write the proportion equation
   49,054 : 105,880 = 105,880 : x
2. Step 2: Convert to fraction form
   49,054/105,880 = 105,880/x
3. Step 3: Cross multiply
   49,054x = 105,880 × 105,880
4. Step 4: Simplify right side
   49,054x = 11,210,574,400
5. Step 5: Solve for x
   x = 11,210,574,400/49,054
6. Step 6: Final answer
   x = 228,535.38