Finding the Third Proportional to 59,798 and 137,828

Step by Step Solution

1. Step 1: Write the proportion equation
   59,798 : 137,828 = 137,828 : x
2. Step 2: Convert to fraction form
   59,798/137,828 = 137,828/x
3. Step 3: Cross multiply
   59,798x = 137,828 × 137,828
4. Step 4: Simplify right side
   59,798x = 18,996,557,584
5. Step 5: Solve for x
   x = 18,996,557,584/59,798
6. Step 6: Final answer
   x = 317,678.81