Finding the Third Proportional to 71,658 and 100,224

Step by Step Solution

1. Step 1: Write the proportion equation
   71,658 : 100,224 = 100,224 : x
2. Step 2: Convert to fraction form
   71,658/100,224 = 100,224/x
3. Step 3: Cross multiply
   71,658x = 100,224 × 100,224
4. Step 4: Simplify right side
   71,658x = 10,044,850,176
5. Step 5: Solve for x
   x = 10,044,850,176/71,658
6. Step 6: Final answer
   x = 140,177.65