Finding the Third Proportional to 59,097 and 128,148

Step by Step Solution

1. Step 1: Write the proportion equation
   59,097 : 128,148 = 128,148 : x
2. Step 2: Convert to fraction form
   59,097/128,148 = 128,148/x
3. Step 3: Cross multiply
   59,097x = 128,148 × 128,148
4. Step 4: Simplify right side
   59,097x = 16,421,909,904
5. Step 5: Solve for x
   x = 16,421,909,904/59,097
6. Step 6: Final answer
   x = 277,880.60