Finding the Third Proportional to 53,806.50 and 106,236

Step by Step Solution

1. Step 1: Write the proportion equation
   53,806.50 : 106,236 = 106,236 : x
2. Step 2: Convert to fraction form
   53,806.50/106,236 = 106,236/x
3. Step 3: Cross multiply
   53,806.50x = 106,236 × 106,236
4. Step 4: Simplify right side
   53,806.50x = 11,286,087,696
5. Step 5: Solve for x
   x = 11,286,087,696/53,806.50
6. Step 6: Final answer
   x = 209,753.24