Finding the Third Proportional to 47,628 and 106,532.72

Step by Step Solution

1. Step 1: Write the proportion equation
   47,628 : 106,532.72 = 106,532.72 : x
2. Step 2: Convert to fraction form
   47,628/106,532.72 = 106,532.72/x
3. Step 3: Cross multiply
   47,628x = 106,532.72 × 106,532.72
4. Step 4: Simplify right side
   47,628x = 11,349,220,164.27
5. Step 5: Solve for x
   x = 11,349,220,164.27/47,628
6. Step 6: Final answer
   x = 238,288.83