Finding the Third Proportional to 105,007.50 and 230,428.13

Step by Step Solution

1. Step 1: Write the proportion equation
   105,007.50 : 230,428.13 = 230,428.13 : x
2. Step 2: Convert to fraction form
   105,007.50/230,428.13 = 230,428.13/x
3. Step 3: Cross multiply
   105,007.50x = 230,428.13 × 230,428.13
4. Step 4: Simplify right side
   105,007.50x = 53,097,120,791.02
5. Step 5: Solve for x
   x = 53,097,120,791.02/105,007.50
6. Step 6: Final answer
   x = 505,650.75