Finding the Third Proportional to 49,865 and 109,114

Step by Step Solution

1. Step 1: Write the proportion equation
   49,865 : 109,114 = 109,114 : x
2. Step 2: Convert to fraction form
   49,865/109,114 = 109,114/x
3. Step 3: Cross multiply
   49,865x = 109,114 × 109,114
4. Step 4: Simplify right side
   49,865x = 11,905,864,996
5. Step 5: Solve for x
   x = 11,905,864,996/49,865
6. Step 6: Final answer
   x = 238,761.96