Finding the Third Proportional to 47,976 and 75,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,976 : 75,256.50 = 75,256.50 : x
2. Step 2: Convert to fraction form
   47,976/75,256.50 = 75,256.50/x
3. Step 3: Cross multiply
   47,976x = 75,256.50 × 75,256.50
4. Step 4: Simplify right side
   47,976x = 5,663,540,792.25
5. Step 5: Solve for x
   x = 5,663,540,792.25/47,976
6. Step 6: Final answer
   x = 118,049.46