Finding the Third Proportional to 46,496 and 101,056

Step by Step Solution

1. Step 1: Write the proportion equation
   46,496 : 101,056 = 101,056 : x
2. Step 2: Convert to fraction form
   46,496/101,056 = 101,056/x
3. Step 3: Cross multiply
   46,496x = 101,056 × 101,056
4. Step 4: Simplify right side
   46,496x = 10,212,315,136
5. Step 5: Solve for x
   x = 10,212,315,136/46,496
6. Step 6: Final answer
   x = 219,638.57