Finding the Third Proportional to 49,070 and 105,916

Step by Step Solution

1. Step 1: Write the proportion equation
   49,070 : 105,916 = 105,916 : x
2. Step 2: Convert to fraction form
   49,070/105,916 = 105,916/x
3. Step 3: Cross multiply
   49,070x = 105,916 × 105,916
4. Step 4: Simplify right side
   49,070x = 11,218,199,056
5. Step 5: Solve for x
   x = 11,218,199,056/49,070
6. Step 6: Final answer
   x = 228,616.24