Finding the Third Proportional to 52,271 and 78,524

Step by Step Solution

1. Step 1: Write the proportion equation
   52,271 : 78,524 = 78,524 : x
2. Step 2: Convert to fraction form
   52,271/78,524 = 78,524/x
3. Step 3: Cross multiply
   52,271x = 78,524 × 78,524
4. Step 4: Simplify right side
   52,271x = 6,166,018,576
5. Step 5: Solve for x
   x = 6,166,018,576/52,271
6. Step 6: Final answer
   x = 117,962.51