Finding the Third Proportional to 49,457 and 109,970

Step by Step Solution

1. Step 1: Write the proportion equation
   49,457 : 109,970 = 109,970 : x
2. Step 2: Convert to fraction form
   49,457/109,970 = 109,970/x
3. Step 3: Cross multiply
   49,457x = 109,970 × 109,970
4. Step 4: Simplify right side
   49,457x = 12,093,400,900
5. Step 5: Solve for x
   x = 12,093,400,900/49,457
6. Step 6: Final answer
   x = 244,523.54