Finding the Third Proportional to 46,152 and 100,642

Step by Step Solution

1. Step 1: Write the proportion equation
   46,152 : 100,642 = 100,642 : x
2. Step 2: Convert to fraction form
   46,152/100,642 = 100,642/x
3. Step 3: Cross multiply
   46,152x = 100,642 × 100,642
4. Step 4: Simplify right side
   46,152x = 10,128,812,164
5. Step 5: Solve for x
   x = 10,128,812,164/46,152
6. Step 6: Final answer
   x = 219,466.38