Finding the Third Proportional to 53,806 and 109,798

Step by Step Solution

1. Step 1: Write the proportion equation
   53,806 : 109,798 = 109,798 : x
2. Step 2: Convert to fraction form
   53,806/109,798 = 109,798/x
3. Step 3: Cross multiply
   53,806x = 109,798 × 109,798
4. Step 4: Simplify right side
   53,806x = 12,055,600,804
5. Step 5: Solve for x
   x = 12,055,600,804/53,806
6. Step 6: Final answer
   x = 224,056.81