Finding the Third Proportional to 46,761 and 101,298

Step by Step Solution

1. Step 1: Write the proportion equation
   46,761 : 101,298 = 101,298 : x
2. Step 2: Convert to fraction form
   46,761/101,298 = 101,298/x
3. Step 3: Cross multiply
   46,761x = 101,298 × 101,298
4. Step 4: Simplify right side
   46,761x = 10,261,284,804
5. Step 5: Solve for x
   x = 10,261,284,804/46,761
6. Step 6: Final answer
   x = 219,441.09