Finding the Third Proportional to 44,438 and 72,196

Step by Step Solution

1. Step 1: Write the proportion equation
   44,438 : 72,196 = 72,196 : x
2. Step 2: Convert to fraction form
   44,438/72,196 = 72,196/x
3. Step 3: Cross multiply
   44,438x = 72,196 × 72,196
4. Step 4: Simplify right side
   44,438x = 5,212,262,416
5. Step 5: Solve for x
   x = 5,212,262,416/44,438
6. Step 6: Final answer
   x = 117,292.91