Finding the Third Proportional to 105,005.75 and 230,428

Step by Step Solution

1. Step 1: Write the proportion equation
   105,005.75 : 230,428 = 230,428 : x
2. Step 2: Convert to fraction form
   105,005.75/230,428 = 230,428/x
3. Step 3: Cross multiply
   105,005.75x = 230,428 × 230,428
4. Step 4: Simplify right side
   105,005.75x = 53,097,063,184
5. Step 5: Solve for x
   x = 53,097,063,184/105,005.75
6. Step 6: Final answer
   x = 505,658.63