Finding the Third Proportional to 82,798 and 131,164

Step by Step Solution

1. Step 1: Write the proportion equation
   82,798 : 131,164 = 131,164 : x
2. Step 2: Convert to fraction form
   82,798/131,164 = 131,164/x
3. Step 3: Cross multiply
   82,798x = 131,164 × 131,164
4. Step 4: Simplify right side
   82,798x = 17,203,994,896
5. Step 5: Solve for x
   x = 17,203,994,896/82,798
6. Step 6: Final answer
   x = 207,782.74