Finding the Third Proportional to 46,164 and 101,112

Step by Step Solution

1. Step 1: Write the proportion equation
   46,164 : 101,112 = 101,112 : x
2. Step 2: Convert to fraction form
   46,164/101,112 = 101,112/x
3. Step 3: Cross multiply
   46,164x = 101,112 × 101,112
4. Step 4: Simplify right side
   46,164x = 10,223,636,544
5. Step 5: Solve for x
   x = 10,223,636,544/46,164
6. Step 6: Final answer
   x = 221,463.40