Finding the Third Proportional to 52,455 and 80,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,455 : 80,212.50 = 80,212.50 : x
2. Step 2: Convert to fraction form
   52,455/80,212.50 = 80,212.50/x
3. Step 3: Cross multiply
   52,455x = 80,212.50 × 80,212.50
4. Step 4: Simplify right side
   52,455x = 6,434,045,156.25
5. Step 5: Solve for x
   x = 6,434,045,156.25/52,455
6. Step 6: Final answer
   x = 122,658.38