Finding the Third Proportional to 54,672 and 89,275

Step by Step Solution

1. Step 1: Write the proportion equation
   54,672 : 89,275 = 89,275 : x
2. Step 2: Convert to fraction form
   54,672/89,275 = 89,275/x
3. Step 3: Cross multiply
   54,672x = 89,275 × 89,275
4. Step 4: Simplify right side
   54,672x = 7,970,025,625
5. Step 5: Solve for x
   x = 7,970,025,625/54,672
6. Step 6: Final answer
   x = 145,778.93