Finding the Third Proportional to 49,128 and 105,265.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,128 : 105,265.25 = 105,265.25 : x
2. Step 2: Convert to fraction form
   49,128/105,265.25 = 105,265.25/x
3. Step 3: Cross multiply
   49,128x = 105,265.25 × 105,265.25
4. Step 4: Simplify right side
   49,128x = 11,080,772,857.56
5. Step 5: Solve for x
   x = 11,080,772,857.56/49,128
6. Step 6: Final answer
   x = 225,549.03