Finding the Third Proportional to 46,178 and 100,648

Step by Step Solution

1. Step 1: Write the proportion equation
   46,178 : 100,648 = 100,648 : x
2. Step 2: Convert to fraction form
   46,178/100,648 = 100,648/x
3. Step 3: Cross multiply
   46,178x = 100,648 × 100,648
4. Step 4: Simplify right side
   46,178x = 10,130,019,904
5. Step 5: Solve for x
   x = 10,130,019,904/46,178
6. Step 6: Final answer
   x = 219,368.96