Finding the Third Proportional to 46,512 and 101,892

Step by Step Solution

1. Step 1: Write the proportion equation
   46,512 : 101,892 = 101,892 : x
2. Step 2: Convert to fraction form
   46,512/101,892 = 101,892/x
3. Step 3: Cross multiply
   46,512x = 101,892 × 101,892
4. Step 4: Simplify right side
   46,512x = 10,381,979,664
5. Step 5: Solve for x
   x = 10,381,979,664/46,512
6. Step 6: Final answer
   x = 223,210.78