Finding the Third Proportional to 70,706 and 103,680

Step by Step Solution

1. Step 1: Write the proportion equation
   70,706 : 103,680 = 103,680 : x
2. Step 2: Convert to fraction form
   70,706/103,680 = 103,680/x
3. Step 3: Cross multiply
   70,706x = 103,680 × 103,680
4. Step 4: Simplify right side
   70,706x = 10,749,542,400
5. Step 5: Solve for x
   x = 10,749,542,400/70,706
6. Step 6: Final answer
   x = 152,031.54