Finding the Third Proportional to 105,165.50 and 228,075

Step by Step Solution

1. Step 1: Write the proportion equation
   105,165.50 : 228,075 = 228,075 : x
2. Step 2: Convert to fraction form
   105,165.50/228,075 = 228,075/x
3. Step 3: Cross multiply
   105,165.50x = 228,075 × 228,075
4. Step 4: Simplify right side
   105,165.50x = 52,018,205,625
5. Step 5: Solve for x
   x = 52,018,205,625/105,165.50
6. Step 6: Final answer
   x = 494,631.85