Finding the Third Proportional to 46,593 and 100,563

Step by Step Solution

1. Step 1: Write the proportion equation
   46,593 : 100,563 = 100,563 : x
2. Step 2: Convert to fraction form
   46,593/100,563 = 100,563/x
3. Step 3: Cross multiply
   46,593x = 100,563 × 100,563
4. Step 4: Simplify right side
   46,593x = 10,112,916,969
5. Step 5: Solve for x
   x = 10,112,916,969/46,593
6. Step 6: Final answer
   x = 217,047.99