Finding the Third Proportional to 82,740 and 131,076

Step by Step Solution

1. Step 1: Write the proportion equation
   82,740 : 131,076 = 131,076 : x
2. Step 2: Convert to fraction form
   82,740/131,076 = 131,076/x
3. Step 3: Cross multiply
   82,740x = 131,076 × 131,076
4. Step 4: Simplify right side
   82,740x = 17,180,917,776
5. Step 5: Solve for x
   x = 17,180,917,776/82,740
6. Step 6: Final answer
   x = 207,649.48