Finding the Third Proportional to 123,075 and 184,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,075 : 184,405.50 = 184,405.50 : x
2. Step 2: Convert to fraction form
   123,075/184,405.50 = 184,405.50/x
3. Step 3: Cross multiply
   123,075x = 184,405.50 × 184,405.50
4. Step 4: Simplify right side
   123,075x = 34,005,388,430.25
5. Step 5: Solve for x
   x = 34,005,388,430.25/123,075
6. Step 6: Final answer
   x = 276,298.10