Finding the Third Proportional to 116,019 and 184,611

Step by Step Solution

1. Step 1: Write the proportion equation
   116,019 : 184,611 = 184,611 : x
2. Step 2: Convert to fraction form
   116,019/184,611 = 184,611/x
3. Step 3: Cross multiply
   116,019x = 184,611 × 184,611
4. Step 4: Simplify right side
   116,019x = 34,081,221,321
5. Step 5: Solve for x
   x = 34,081,221,321/116,019
6. Step 6: Final answer
   x = 293,755.52