Finding the Third Proportional to 46,536 and 101,328

Step by Step Solution

1. Step 1: Write the proportion equation
   46,536 : 101,328 = 101,328 : x
2. Step 2: Convert to fraction form
   46,536/101,328 = 101,328/x
3. Step 3: Cross multiply
   46,536x = 101,328 × 101,328
4. Step 4: Simplify right side
   46,536x = 10,267,363,584
5. Step 5: Solve for x
   x = 10,267,363,584/46,536
6. Step 6: Final answer
   x = 220,632.71