Finding the Third Proportional to 120,330 and 184,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,330 : 184,972.50 = 184,972.50 : x
2. Step 2: Convert to fraction form
   120,330/184,972.50 = 184,972.50/x
3. Step 3: Cross multiply
   120,330x = 184,972.50 × 184,972.50
4. Step 4: Simplify right side
   120,330x = 34,214,825,756.25
5. Step 5: Solve for x
   x = 34,214,825,756.25/120,330
6. Step 6: Final answer
   x = 284,341.61