Finding the Third Proportional to 49,862 and 109,084

Step by Step Solution

1. Step 1: Write the proportion equation
   49,862 : 109,084 = 109,084 : x
2. Step 2: Convert to fraction form
   49,862/109,084 = 109,084/x
3. Step 3: Cross multiply
   49,862x = 109,084 × 109,084
4. Step 4: Simplify right side
   49,862x = 11,899,319,056
5. Step 5: Solve for x
   x = 11,899,319,056/49,862
6. Step 6: Final answer
   x = 238,645.04