Finding the Third Proportional to 46,476 and 101,846

Step by Step Solution

1. Step 1: Write the proportion equation
   46,476 : 101,846 = 101,846 : x
2. Step 2: Convert to fraction form
   46,476/101,846 = 101,846/x
3. Step 3: Cross multiply
   46,476x = 101,846 × 101,846
4. Step 4: Simplify right side
   46,476x = 10,372,607,716
5. Step 5: Solve for x
   x = 10,372,607,716/46,476
6. Step 6: Final answer
   x = 223,182.02