Finding the Third Proportional to 123,075 and 175,999.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,075 : 175,999.50 = 175,999.50 : x
2. Step 2: Convert to fraction form
   123,075/175,999.50 = 175,999.50/x
3. Step 3: Cross multiply
   123,075x = 175,999.50 × 175,999.50
4. Step 4: Simplify right side
   123,075x = 30,975,824,000.25
5. Step 5: Solve for x
   x = 30,975,824,000.25/123,075
6. Step 6: Final answer
   x = 251,682.50