Finding the Third Proportional to 116,406 and 184,617

Step by Step Solution

1. Step 1: Write the proportion equation
   116,406 : 184,617 = 184,617 : x
2. Step 2: Convert to fraction form
   116,406/184,617 = 184,617/x
3. Step 3: Cross multiply
   116,406x = 184,617 × 184,617
4. Step 4: Simplify right side
   116,406x = 34,083,436,689
5. Step 5: Solve for x
   x = 34,083,436,689/116,406
6. Step 6: Final answer
   x = 292,797.94