Finding the Third Proportional to 46,448 and 101,796

Step by Step Solution

1. Step 1: Write the proportion equation
   46,448 : 101,796 = 101,796 : x
2. Step 2: Convert to fraction form
   46,448/101,796 = 101,796/x
3. Step 3: Cross multiply
   46,448x = 101,796 × 101,796
4. Step 4: Simplify right side
   46,448x = 10,362,425,616
5. Step 5: Solve for x
   x = 10,362,425,616/46,448
6. Step 6: Final answer
   x = 223,097.35