Finding the Third Proportional to 54,456 and 85,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,456 : 85,576.50 = 85,576.50 : x
2. Step 2: Convert to fraction form
   54,456/85,576.50 = 85,576.50/x
3. Step 3: Cross multiply
   54,456x = 85,576.50 × 85,576.50
4. Step 4: Simplify right side
   54,456x = 7,323,337,352.25
5. Step 5: Solve for x
   x = 7,323,337,352.25/54,456
6. Step 6: Final answer
   x = 134,481.73