Finding the Third Proportional to 46,144 and 72,289

Step by Step Solution

1. Step 1: Write the proportion equation
   46,144 : 72,289 = 72,289 : x
2. Step 2: Convert to fraction form
   46,144/72,289 = 72,289/x
3. Step 3: Cross multiply
   46,144x = 72,289 × 72,289
4. Step 4: Simplify right side
   46,144x = 5,225,699,521
5. Step 5: Solve for x
   x = 5,225,699,521/46,144
6. Step 6: Final answer
   x = 113,247.65