Finding the Third Proportional to 46,164 and 100,642

Step by Step Solution

1. Step 1: Write the proportion equation
   46,164 : 100,642 = 100,642 : x
2. Step 2: Convert to fraction form
   46,164/100,642 = 100,642/x
3. Step 3: Cross multiply
   46,164x = 100,642 × 100,642
4. Step 4: Simplify right side
   46,164x = 10,128,812,164
5. Step 5: Solve for x
   x = 10,128,812,164/46,164
6. Step 6: Final answer
   x = 219,409.33