Finding the Third Proportional to 59,978 and 128,264

Step by Step Solution

1. Step 1: Write the proportion equation
   59,978 : 128,264 = 128,264 : x
2. Step 2: Convert to fraction form
   59,978/128,264 = 128,264/x
3. Step 3: Cross multiply
   59,978x = 128,264 × 128,264
4. Step 4: Simplify right side
   59,978x = 16,451,653,696
5. Step 5: Solve for x
   x = 16,451,653,696/59,978
6. Step 6: Final answer
   x = 274,294.80