Finding the Third Proportional to 120,172 and 184,814

Step by Step Solution

1. Step 1: Write the proportion equation
   120,172 : 184,814 = 184,814 : x
2. Step 2: Convert to fraction form
   120,172/184,814 = 184,814/x
3. Step 3: Cross multiply
   120,172x = 184,814 × 184,814
4. Step 4: Simplify right side
   120,172x = 34,156,214,596
5. Step 5: Solve for x
   x = 34,156,214,596/120,172
6. Step 6: Final answer
   x = 284,227.73