Finding the Third Proportional to 49,878 and 109,146

Step by Step Solution

1. Step 1: Write the proportion equation
   49,878 : 109,146 = 109,146 : x
2. Step 2: Convert to fraction form
   49,878/109,146 = 109,146/x
3. Step 3: Cross multiply
   49,878x = 109,146 × 109,146
4. Step 4: Simplify right side
   49,878x = 11,912,849,316
5. Step 5: Solve for x
   x = 11,912,849,316/49,878
6. Step 6: Final answer
   x = 238,839.76