Finding the Third Proportional to 116,284 and 178,962

Step by Step Solution

1. Step 1: Write the proportion equation
   116,284 : 178,962 = 178,962 : x
2. Step 2: Convert to fraction form
   116,284/178,962 = 178,962/x
3. Step 3: Cross multiply
   116,284x = 178,962 × 178,962
4. Step 4: Simplify right side
   116,284x = 32,027,397,444
5. Step 5: Solve for x
   x = 32,027,397,444/116,284
6. Step 6: Final answer
   x = 275,423.94