Finding the Third Proportional to 49,467 and 116,654

Step by Step Solution

1. Step 1: Write the proportion equation
   49,467 : 116,654 = 116,654 : x
2. Step 2: Convert to fraction form
   49,467/116,654 = 116,654/x
3. Step 3: Cross multiply
   49,467x = 116,654 × 116,654
4. Step 4: Simplify right side
   49,467x = 13,608,155,716
5. Step 5: Solve for x
   x = 13,608,155,716/49,467
6. Step 6: Final answer
   x = 275,095.63