Finding the Third Proportional to 53.30 and 123.12

Step by Step Solution

1. Step 1: Write the proportion equation
   53.30 : 123.12 = 123.12 : x
2. Step 2: Convert to fraction form
   53.30/123.12 = 123.12/x
3. Step 3: Cross multiply
   53.30x = 123.12 × 123.12
4. Step 4: Simplify right side
   53.30x = 15,157.84
5. Step 5: Solve for x
   x = 15,157.84/53.30
6. Step 6: Final answer
   x = 284.40