Finding the Third Proportional to 123,529.50 and 184,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,529.50 : 184,756.50 = 184,756.50 : x
2. Step 2: Convert to fraction form
   123,529.50/184,756.50 = 184,756.50/x
3. Step 3: Cross multiply
   123,529.50x = 184,756.50 × 184,756.50
4. Step 4: Simplify right side
   123,529.50x = 34,134,964,292.25
5. Step 5: Solve for x
   x = 34,134,964,292.25/123,529.50
6. Step 6: Final answer
   x = 276,330.47