Finding the Third Proportional to 71,478 and 105,077

Step by Step Solution

1. Step 1: Write the proportion equation
   71,478 : 105,077 = 105,077 : x
2. Step 2: Convert to fraction form
   71,478/105,077 = 105,077/x
3. Step 3: Cross multiply
   71,478x = 105,077 × 105,077
4. Step 4: Simplify right side
   71,478x = 11,041,175,929
5. Step 5: Solve for x
   x = 11,041,175,929/71,478
6. Step 6: Final answer
   x = 154,469.57