Finding the Third Proportional to 53,300 and 108,436

Step by Step Solution

1. Step 1: Write the proportion equation
   53,300 : 108,436 = 108,436 : x
2. Step 2: Convert to fraction form
   53,300/108,436 = 108,436/x
3. Step 3: Cross multiply
   53,300x = 108,436 × 108,436
4. Step 4: Simplify right side
   53,300x = 11,758,366,096
5. Step 5: Solve for x
   x = 11,758,366,096/53,300
6. Step 6: Final answer
   x = 220,607.24