Finding the Third Proportional to 105,025.50 and 230,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,025.50 : 230,461.50 = 230,461.50 : x
2. Step 2: Convert to fraction form
   105,025.50/230,461.50 = 230,461.50/x
3. Step 3: Cross multiply
   105,025.50x = 230,461.50 × 230,461.50
4. Step 4: Simplify right side
   105,025.50x = 53,112,502,982.25
5. Step 5: Solve for x
   x = 53,112,502,982.25/105,025.50
6. Step 6: Final answer
   x = 505,710.55