Finding the Third Proportional to 105,054 and 230,526

Step by Step Solution

1. Step 1: Write the proportion equation
   105,054 : 230,526 = 230,526 : x
2. Step 2: Convert to fraction form
   105,054/230,526 = 230,526/x
3. Step 3: Cross multiply
   105,054x = 230,526 × 230,526
4. Step 4: Simplify right side
   105,054x = 53,142,236,676
5. Step 5: Solve for x
   x = 53,142,236,676/105,054
6. Step 6: Final answer
   x = 505,856.39