Finding the Third Proportional to 47,496 and 101,576

Step by Step Solution

1. Step 1: Write the proportion equation
   47,496 : 101,576 = 101,576 : x
2. Step 2: Convert to fraction form
   47,496/101,576 = 101,576/x
3. Step 3: Cross multiply
   47,496x = 101,576 × 101,576
4. Step 4: Simplify right side
   47,496x = 10,317,683,776
5. Step 5: Solve for x
   x = 10,317,683,776/47,496
6. Step 6: Final answer
   x = 217,232.69