Finding the Third Proportional to 49,905 and 109,064

Step by Step Solution

1. Step 1: Write the proportion equation
   49,905 : 109,064 = 109,064 : x
2. Step 2: Convert to fraction form
   49,905/109,064 = 109,064/x
3. Step 3: Cross multiply
   49,905x = 109,064 × 109,064
4. Step 4: Simplify right side
   49,905x = 11,894,956,096
5. Step 5: Solve for x
   x = 11,894,956,096/49,905
6. Step 6: Final answer
   x = 238,351.99