Finding the Third Proportional to 52,434 and 80,208

Step by Step Solution

1. Step 1: Write the proportion equation
   52,434 : 80,208 = 80,208 : x
2. Step 2: Convert to fraction form
   52,434/80,208 = 80,208/x
3. Step 3: Cross multiply
   52,434x = 80,208 × 80,208
4. Step 4: Simplify right side
   52,434x = 6,433,323,264
5. Step 5: Solve for x
   x = 6,433,323,264/52,434
6. Step 6: Final answer
   x = 122,693.73