Finding the Third Proportional to 46,176 and 101,040

Step by Step Solution

1. Step 1: Write the proportion equation
   46,176 : 101,040 = 101,040 : x
2. Step 2: Convert to fraction form
   46,176/101,040 = 101,040/x
3. Step 3: Cross multiply
   46,176x = 101,040 × 101,040
4. Step 4: Simplify right side
   46,176x = 10,209,081,600
5. Step 5: Solve for x
   x = 10,209,081,600/46,176
6. Step 6: Final answer
   x = 221,090.64