Finding the Third Proportional to 105,098.25 and 230,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,098.25 : 230,635.50 = 230,635.50 : x
2. Step 2: Convert to fraction form
   105,098.25/230,635.50 = 230,635.50/x
3. Step 3: Cross multiply
   105,098.25x = 230,635.50 × 230,635.50
4. Step 4: Simplify right side
   105,098.25x = 53,192,733,860.25
5. Step 5: Solve for x
   x = 53,192,733,860.25/105,098.25
6. Step 6: Final answer
   x = 506,123.88