Finding the Third Proportional to 49,460 and 116,702

Step by Step Solution

1. Step 1: Write the proportion equation
   49,460 : 116,702 = 116,702 : x
2. Step 2: Convert to fraction form
   49,460/116,702 = 116,702/x
3. Step 3: Cross multiply
   49,460x = 116,702 × 116,702
4. Step 4: Simplify right side
   49,460x = 13,619,356,804
5. Step 5: Solve for x
   x = 13,619,356,804/49,460
6. Step 6: Final answer
   x = 275,361.04