Finding the Third Proportional to 116,608 and 184,353

Step by Step Solution

1. Step 1: Write the proportion equation
   116,608 : 184,353 = 184,353 : x
2. Step 2: Convert to fraction form
   116,608/184,353 = 184,353/x
3. Step 3: Cross multiply
   116,608x = 184,353 × 184,353
4. Step 4: Simplify right side
   116,608x = 33,986,028,609
5. Step 5: Solve for x
   x = 33,986,028,609/116,608
6. Step 6: Final answer
   x = 291,455.38