Finding the Third Proportional to 46,112 and 100,906

Step by Step Solution

1. Step 1: Write the proportion equation
   46,112 : 100,906 = 100,906 : x
2. Step 2: Convert to fraction form
   46,112/100,906 = 100,906/x
3. Step 3: Cross multiply
   46,112x = 100,906 × 100,906
4. Step 4: Simplify right side
   46,112x = 10,182,020,836
5. Step 5: Solve for x
   x = 10,182,020,836/46,112
6. Step 6: Final answer
   x = 220,810.65