Finding the Third Proportional to 116,160 and 184,608

Step by Step Solution

1. Step 1: Write the proportion equation
   116,160 : 184,608 = 184,608 : x
2. Step 2: Convert to fraction form
   116,160/184,608 = 184,608/x
3. Step 3: Cross multiply
   116,160x = 184,608 × 184,608
4. Step 4: Simplify right side
   116,160x = 34,080,113,664
5. Step 5: Solve for x
   x = 34,080,113,664/116,160
6. Step 6: Final answer
   x = 293,389.41