Finding the Third Proportional to 46,623 and 72,323

Step by Step Solution

1. Step 1: Write the proportion equation
   46,623 : 72,323 = 72,323 : x
2. Step 2: Convert to fraction form
   46,623/72,323 = 72,323/x
3. Step 3: Cross multiply
   46,623x = 72,323 × 72,323
4. Step 4: Simplify right side
   46,623x = 5,230,616,329
5. Step 5: Solve for x
   x = 5,230,616,329/46,623
6. Step 6: Final answer
   x = 112,189.61