Finding the Third Proportional to 49,005 and 105,401.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,005 : 105,401.25 = 105,401.25 : x
2. Step 2: Convert to fraction form
   49,005/105,401.25 = 105,401.25/x
3. Step 3: Cross multiply
   49,005x = 105,401.25 × 105,401.25
4. Step 4: Simplify right side
   49,005x = 11,109,423,501.56
5. Step 5: Solve for x
   x = 11,109,423,501.56/49,005
6. Step 6: Final answer
   x = 226,699.80