Finding the Third Proportional to 123,101 and 184,441

Step by Step Solution

1. Step 1: Write the proportion equation
   123,101 : 184,441 = 184,441 : x
2. Step 2: Convert to fraction form
   123,101/184,441 = 184,441/x
3. Step 3: Cross multiply
   123,101x = 184,441 × 184,441
4. Step 4: Simplify right side
   123,101x = 34,018,482,481
5. Step 5: Solve for x
   x = 34,018,482,481/123,101
6. Step 6: Final answer
   x = 276,346.11