Finding the Third Proportional to 59,978 and 128,261

Step by Step Solution

1. Step 1: Write the proportion equation
   59,978 : 128,261 = 128,261 : x
2. Step 2: Convert to fraction form
   59,978/128,261 = 128,261/x
3. Step 3: Cross multiply
   59,978x = 128,261 × 128,261
4. Step 4: Simplify right side
   59,978x = 16,450,884,121
5. Step 5: Solve for x
   x = 16,450,884,121/59,978
6. Step 6: Final answer
   x = 274,281.97