Finding the Third Proportional to 46,106 and 100,588

Step by Step Solution

1. Step 1: Write the proportion equation
   46,106 : 100,588 = 100,588 : x
2. Step 2: Convert to fraction form
   46,106/100,588 = 100,588/x
3. Step 3: Cross multiply
   46,106x = 100,588 × 100,588
4. Step 4: Simplify right side
   46,106x = 10,117,945,744
5. Step 5: Solve for x
   x = 10,117,945,744/46,106
6. Step 6: Final answer
   x = 219,449.65