Finding the Third Proportional to 59,798 and 131,206

Step by Step Solution

1. Step 1: Write the proportion equation
   59,798 : 131,206 = 131,206 : x
2. Step 2: Convert to fraction form
   59,798/131,206 = 131,206/x
3. Step 3: Cross multiply
   59,798x = 131,206 × 131,206
4. Step 4: Simplify right side
   59,798x = 17,215,014,436
5. Step 5: Solve for x
   x = 17,215,014,436/59,798
6. Step 6: Final answer
   x = 287,886.12