Finding the Third Proportional to 49,802 and 108,916

Step by Step Solution

1. Step 1: Write the proportion equation
   49,802 : 108,916 = 108,916 : x
2. Step 2: Convert to fraction form
   49,802/108,916 = 108,916/x
3. Step 3: Cross multiply
   49,802x = 108,916 × 108,916
4. Step 4: Simplify right side
   49,802x = 11,862,695,056
5. Step 5: Solve for x
   x = 11,862,695,056/49,802
6. Step 6: Final answer
   x = 238,197.16