Finding the Third Proportional to 49,152 and 105,310

Step by Step Solution

1. Step 1: Write the proportion equation
   49,152 : 105,310 = 105,310 : x
2. Step 2: Convert to fraction form
   49,152/105,310 = 105,310/x
3. Step 3: Cross multiply
   49,152x = 105,310 × 105,310
4. Step 4: Simplify right side
   49,152x = 11,090,196,100
5. Step 5: Solve for x
   x = 11,090,196,100/49,152
6. Step 6: Final answer
   x = 225,630.62