Finding the Third Proportional to 123,314 and 184,633

Step by Step Solution

1. Step 1: Write the proportion equation
   123,314 : 184,633 = 184,633 : x
2. Step 2: Convert to fraction form
   123,314/184,633 = 184,633/x
3. Step 3: Cross multiply
   123,314x = 184,633 × 184,633
4. Step 4: Simplify right side
   123,314x = 34,089,344,689
5. Step 5: Solve for x
   x = 34,089,344,689/123,314
6. Step 6: Final answer
   x = 276,443.43