Finding the Third Proportional to 70,576 and 100,320

Step by Step Solution

1. Step 1: Write the proportion equation
   70,576 : 100,320 = 100,320 : x
2. Step 2: Convert to fraction form
   70,576/100,320 = 100,320/x
3. Step 3: Cross multiply
   70,576x = 100,320 × 100,320
4. Step 4: Simplify right side
   70,576x = 10,064,102,400
5. Step 5: Solve for x
   x = 10,064,102,400/70,576
6. Step 6: Final answer
   x = 142,599.50