Finding the Third Proportional to 82,798 and 131,199

Step by Step Solution

1. Step 1: Write the proportion equation
   82,798 : 131,199 = 131,199 : x
2. Step 2: Convert to fraction form
   82,798/131,199 = 131,199/x
3. Step 3: Cross multiply
   82,798x = 131,199 × 131,199
4. Step 4: Simplify right side
   82,798x = 17,213,177,601
5. Step 5: Solve for x
   x = 17,213,177,601/82,798
6. Step 6: Final answer
   x = 207,893.64