Finding the Third Proportional to 49,160 and 105,613

Step by Step Solution

1. Step 1: Write the proportion equation
   49,160 : 105,613 = 105,613 : x
2. Step 2: Convert to fraction form
   49,160/105,613 = 105,613/x
3. Step 3: Cross multiply
   49,160x = 105,613 × 105,613
4. Step 4: Simplify right side
   49,160x = 11,154,105,769
5. Step 5: Solve for x
   x = 11,154,105,769/49,160
6. Step 6: Final answer
   x = 226,893.93