Finding the Third Proportional to 105,336.75 and 230,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,336.75 : 230,380.50 = 230,380.50 : x
2. Step 2: Convert to fraction form
   105,336.75/230,380.50 = 230,380.50/x
3. Step 3: Cross multiply
   105,336.75x = 230,380.50 × 230,380.50
4. Step 4: Simplify right side
   105,336.75x = 53,075,174,780.25
5. Step 5: Solve for x
   x = 53,075,174,780.25/105,336.75
6. Step 6: Final answer
   x = 503,861.90