Finding the Third Proportional to 59,665 and 129,844

Step by Step Solution

1. Step 1: Write the proportion equation
   59,665 : 129,844 = 129,844 : x
2. Step 2: Convert to fraction form
   59,665/129,844 = 129,844/x
3. Step 3: Cross multiply
   59,665x = 129,844 × 129,844
4. Step 4: Simplify right side
   59,665x = 16,859,464,336
5. Step 5: Solve for x
   x = 16,859,464,336/59,665
6. Step 6: Final answer
   x = 282,568.75