Finding the Third Proportional to 59,388 and 128,592

Step by Step Solution

1. Step 1: Write the proportion equation
   59,388 : 128,592 = 128,592 : x
2. Step 2: Convert to fraction form
   59,388/128,592 = 128,592/x
3. Step 3: Cross multiply
   59,388x = 128,592 × 128,592
4. Step 4: Simplify right side
   59,388x = 16,535,902,464
5. Step 5: Solve for x
   x = 16,535,902,464/59,388
6. Step 6: Final answer
   x = 278,438.45