Finding the Third Proportional to 46,826 and 101,588

Step by Step Solution

1. Step 1: Write the proportion equation
   46,826 : 101,588 = 101,588 : x
2. Step 2: Convert to fraction form
   46,826/101,588 = 101,588/x
3. Step 3: Cross multiply
   46,826x = 101,588 × 101,588
4. Step 4: Simplify right side
   46,826x = 10,320,121,744
5. Step 5: Solve for x
   x = 10,320,121,744/46,826
6. Step 6: Final answer
   x = 220,392.98