Finding the Third Proportional to 105,729.50 and 238,075

Step by Step Solution

1. Step 1: Write the proportion equation
   105,729.50 : 238,075 = 238,075 : x
2. Step 2: Convert to fraction form
   105,729.50/238,075 = 238,075/x
3. Step 3: Cross multiply
   105,729.50x = 238,075 × 238,075
4. Step 4: Simplify right side
   105,729.50x = 56,679,705,625
5. Step 5: Solve for x
   x = 56,679,705,625/105,729.50
6. Step 6: Final answer
   x = 536,082.23